57431264 has 48 divisors (see below), whose sum is σ = 124041456. Its totient is φ = 25958400.

The previous prime is 57431263. The next prime is 57431279. The reversal of 57431264 is 46213475.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 57431264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57431263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84494 + ... + 85170.

It is an arithmetic number, because the mean of its divisors is an integer number (2584197).

Almost surely, 2^57431264 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 57431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62020728).

57431264 is an abundant number, since it is smaller than the sum of its proper divisors (66610192).

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

57431264 is a wasteful number, since it uses less digits than its factorization.

57431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 57431264 is about 7578.3417711265. The cubic root of 57431264 is about 385.8182719961.

It can be divided in two parts, 5743 and 1264, that added together give a palindrome (7007).

The spelling of 57431264 in words is "fifty-seven million, four hundred thirty-one thousand, two hundred sixty-four".