56682400 has 36 divisors (see below), whose sum is σ = 138377862. Its totient is φ = 22672640.

The previous prime is 56682391. The next prime is 56682401. The reversal of 56682400 is 428665.

It can be written as a sum of positive squares in 3 ways, for example, as 51093904 + 5588496 = 7148^2 + 2364^2 .

It is not an unprimeable number, because it can be changed into a prime (56682401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34627 + ... + 36226.

Almost surely, 2^56682400 is an apocalyptic number.

56682400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56682400 is an abundant number, since it is smaller than the sum of its proper divisors (81695462).

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

56682400 is a wasteful number, since it uses less digits than its factorization.

56682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70873 (or 70860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 56682400 is about 7528.7714801287. The cubic root of 56682400 is about 384.1339954827.

The spelling of 56682400 in words is "fifty-six million, six hundred eighty-two thousand, four hundred".