57564432 has 50 divisors (see below), whose sum is σ = 166611918. Its totient is φ = 19187712.

The previous prime is 57564421. The next prime is 57564439. The reversal of 57564432 is 23446575.

57564432 is a `hidden beast` number, since 5 + 7 + 5 + 644 + 3 + 2 = 666.

57564432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 23970816 = 5796^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57564439) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 20913 + ... + 23504.

Almost surely, 2^57564432 is an apocalyptic number.

It is an amenable number.

57564432 is an abundant number, since it is smaller than the sum of its proper divisors (109047486).

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

57564432 is a wasteful number, since it uses less digits than its factorization.

57564432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44437 (or 44422 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57564432 is about 7587.1227748073. The cubic root of 57564432 is about 386.1162455152.

The spelling of 57564432 in words is "fifty-seven million, five hundred sixty-four thousand, four hundred thirty-two".