57565400 has 48 divisors (see below), whose sum is σ = 141720840. Its totient is φ = 21670400.

The previous prime is 57565399. The next prime is 57565429. The reversal of 57565400 is 456575.

It is a happy number.

57565400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5066 + ... + 11865.

Almost surely, 2^57565400 is an apocalyptic number.

57565400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57565400 is an abundant number, since it is smaller than the sum of its proper divisors (84155440).

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

57565400 is a wasteful number, since it uses less digits than its factorization.

57565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16964 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 57565400 is about 7587.1865668375. The cubic root of 57565400 is about 386.1184098055.

The spelling of 57565400 in words is "fifty-seven million, five hundred sixty-five thousand, four hundred".