56916800 has 42 divisors (see below), whose sum is σ = 140054838. Its totient is φ = 22766080.

The previous prime is 56916757. The next prime is 56916817. The reversal of 56916800 is 861965.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 56670784 = 496^2 + 7528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16187 + ... + 19386.

It is an arithmetic number, because the mean of its divisors is an integer number (3334639).

Almost surely, 2^56916800 is an apocalyptic number.

56916800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56916800 is an abundant number, since it is smaller than the sum of its proper divisors (83138038).

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

56916800 is a wasteful number, since it uses less digits than its factorization.

56916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35595 (or 35580 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 56916800 is about 7544.3223685100. The cubic root of 56916800 is about 384.6627732379.

The spelling of 56916800 in words is "fifty-six million, nine hundred sixteen thousand, eight hundred".