57564192 has 48 divisors (see below), whose sum is σ = 172694592. Its totient is φ = 16446720.

The previous prime is 57564191. The next prime is 57564197. The reversal of 57564192 is 29146575.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×57564192² = 6627272401225728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57564192.

It is not an unprimeable number, because it can be changed into a prime (57564191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42159 + ... + 43502.

It is an arithmetic number, because the mean of its divisors is an integer number (3597804).

Almost surely, 2^57564192 is an apocalyptic number.

It is an amenable number.

57564192 is an abundant number, since it is smaller than the sum of its proper divisors (115130400).

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

57564192 is a wasteful number, since it uses less digits than its factorization.

57564192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85681 (or 85673 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 57564192 is about 7587.1069585185. The cubic root of 57564192 is about 386.1157089105.

The spelling of 57564192 in words is "fifty-seven million, five hundred sixty-four thousand, one hundred ninety-two".