2823120 has 80 divisors (see below), whose sum is σ = 9731520. Its totient is φ = 752256.

The previous prime is 2823113. The next prime is 2823133. The reversal of 2823120 is 213282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2823093 and 2823102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 2813.

It is an arithmetic number, because the mean of its divisors is an integer number (121644).

2^2823120 is an apocalyptic number.

2823120 is a gapful number since it is divisible by the number (20) 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 2823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865760).

2823120 is an abundant number, since it is smaller than the sum of its proper divisors (6908400).

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

2823120 is a wasteful number, since it uses less digits than its factorization.

2823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2823120 is about 1680.2142720498. The cubic root of 2823120 is about 141.3328487781.

The spelling of 2823120 in words is "two million, eight hundred twenty-three thousand, one hundred twenty".