1023120 has 180 divisors, whose sum is σ = 4134780. Its totient is φ = 225792.

The previous prime is 1023107. The next prime is 1023133. The reversal of 1023120 is 213201.

1023120 = T₂₅₁ + T₂₅₂ + ... + T₂₇₉.

It is a happy number.

1023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023107) and next prime (1023133).

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 571536 = 672^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35266 + ... + 35294.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2^1023120 is an apocalyptic number.

1023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390).

1023120 is an abundant number, since it is smaller than the sum of its proper divisors (3111660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023120 is a wasteful number, since it uses less digits than its factorization.

1023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1023120 is about 1011.4939446186. The cubic root of 1023120 is about 100.7648025259.

Adding to 1023120 its reverse (213201), we get a palindrome (1236321).

It can be divided in two parts, 1023 and 120, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 1023120 in words is "one million, twenty-three thousand, one hundred twenty".