57735564 has 48 divisors (see below), whose sum is σ = 137342688. Its totient is φ = 18874368.

The previous prime is 57735533. The next prime is 57735581. The reversal of 57735564 is 46553775.

It is a super-4 number, since 4×57735564⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224524 + ... + 224780.

It is an arithmetic number, because the mean of its divisors is an integer number (2861306).

Almost surely, 2^57735564 is an apocalyptic number.

It is an amenable number.

57735564 is an abundant number, since it is smaller than the sum of its proper divisors (79607124).

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

57735564 is a wasteful number, since it uses less digits than its factorization.

57735564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

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

The square root of 57735564 is about 7598.3921983535. The cubic root of 57735564 is about 386.4984923964.

The spelling of 57735564 in words is "fifty-seven million, seven hundred thirty-five thousand, five hundred sixty-four".