57686564 has 24 divisors (see below), whose sum is σ = 111249600. Its totient is φ = 26004384.

The previous prime is 57686561. The next prime is 57686569. The reversal of 57686564 is 46568675.

It is a super-2 number, since 2×57686564² = 6655479332252192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57686561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10664 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (4635400).

Almost surely, 2^57686564 is an apocalyptic number.

It is an amenable number.

57686564 is a deficient number, since it is larger than the sum of its proper divisors (53563036).

57686564 is a wasteful number, since it uses less digits than its factorization.

57686564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25859 (or 25857 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 57686564 is about 7595.1671476012. The cubic root of 57686564 is about 386.3891214126.

The spelling of 57686564 in words is "fifty-seven million, six hundred eighty-six thousand, five hundred sixty-four".