1351120 has 20 divisors (see below), whose sum is σ = 3141540. Its totient is φ = 540416.

The previous prime is 1351117. The next prime is 1351121. The reversal of 1351120 is 211531.

1351120 = T₂₈₅ + T₂₈₆ + ... + T₃₁₄.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 1132096 = 468^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 1351120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8365 + ... + 8524.

It is an arithmetic number, because the mean of its divisors is an integer number (157077).

2^1351120 is an apocalyptic number.

1351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351120 is an abundant number, since it is smaller than the sum of its proper divisors (1790420).

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

1351120 is a wasteful number, since it uses less digits than its factorization.

1351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16902 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1351120 is about 1162.3768752001. The cubic root of 1351120 is about 110.5515003278.

Adding to 1351120 its reverse (211531), we get a palindrome (1562651).

It can be divided in two parts, 13511 and 20, that added together give a palindrome (13531).

The spelling of 1351120 in words is "one million, three hundred fifty-one thousand, one hundred twenty".