57537564 has 60 divisors (see below), whose sum is σ = 156699144. Its totient is φ = 16431072.

The previous prime is 57537563. The next prime is 57537583. The reversal of 57537564 is 46573575.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57537563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27814 + ... + 29810.

Almost surely, 2^57537564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57537564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78349572).

57537564 is an abundant number, since it is smaller than the sum of its proper divisors (99161580).

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

57537564 is a wasteful number, since it uses less digits than its factorization.

57537564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2009 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 57537564 is about 7585.3519364628. The cubic root of 57537564 is about 386.0561633581.

The spelling of 57537564 in words is "fifty-seven million, five hundred thirty-seven thousand, five hundred sixty-four".