57564080 has 40 divisors (see below), whose sum is σ = 152957472. Its totient is φ = 19736064.

The previous prime is 57564079. The next prime is 57564097. The reversal of 57564080 is 8046575.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 57564080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50837 + ... + 51956.

Almost surely, 2^57564080 is an apocalyptic number.

It is an amenable number.

57564080 is an abundant number, since it is smaller than the sum of its proper divisors (95393392).

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

57564080 is a wasteful number, since it uses less digits than its factorization.

57564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102813 (or 102807 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 57564080 is about 7587.0995775724. The cubic root of 57564080 is about 386.1154584945.

The spelling of 57564080 in words is "fifty-seven million, five hundred sixty-four thousand, eighty".