56792920 has 64 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 20914176.

The previous prime is 56792909. The next prime is 56792929. The reversal of 56792920 is 2929765.

It is a happy number.

56792920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56792929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31072 + ... + 32848.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2^56792920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56792920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

56792920 is an abundant number, since it is smaller than the sum of its proper divisors (81464360).

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

56792920 is a wasteful number, since it uses less digits than its factorization.

56792920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 56792920 is about 7536.1077486989. The cubic root of 56792920 is about 384.3834963641.

The spelling of 56792920 in words is "fifty-six million, seven hundred ninety-two thousand, nine hundred twenty".