57564689 has 16 divisors (see below), whose sum is σ = 71027712. Its totient is φ = 45430848.

The previous prime is 57564679. The next prime is 57564709. The reversal of 57564689 is 98646575.

It is a cyclic number.

It is not a de Polignac number, because 57564689 - 2¹² = 57560593 is a prime.

It is a super-3 number, since 3×57564689³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57564679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66272 + ... + 67134.

It is an arithmetic number, because the mean of its divisors is an integer number (4439232).

Almost surely, 2^57564689 is an apocalyptic number.

It is an amenable number.

57564689 is a deficient number, since it is larger than the sum of its proper divisors (13463023).

57564689 is a wasteful number, since it uses less digits than its factorization.

57564689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its digits is 1814400, while the sum is 50.

The square root of 57564689 is about 7587.1397113800. The cubic root of 57564689 is about 386.1168201277.

The spelling of 57564689 in words is "fifty-seven million, five hundred sixty-four thousand, six hundred eighty-nine".