57312164 has 72 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 22317120.

The previous prime is 57312161. The next prime is 57312191. The reversal of 57312164 is 46121375.

It is not an unprimeable number, because it can be changed into a prime (57312161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211349 + ... + 211619.

It is an arithmetic number, because the mean of its divisors is an integer number (1772624).

Almost surely, 2^57312164 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 57312164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

57312164 is an abundant number, since it is smaller than the sum of its proper divisors (70316764).

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

57312164 is a wasteful number, since it uses less digits than its factorization.

57312164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 57312164 is about 7570.4797734358. The cubic root of 57312164 is about 385.5513862516.

The spelling of 57312164 in words is "fifty-seven million, three hundred twelve thousand, one hundred sixty-four".