57638464 has 63 divisors (see below), whose sum is σ = 125571123. Its totient is φ = 26237952.

The previous prime is 57638443. The next prime is 57638501. The reversal of 57638464 is 46483675.

The square root of 57638464 is 7592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5798464 + 51840000 = 2408^2 + 7200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57638464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 789532 + ... + 789604.

Almost surely, 2^57638464 is an apocalyptic number.

57638464 is the 7592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57638464

57638464 is an abundant number, since it is smaller than the sum of its proper divisors (67932659).

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

57638464 is an equidigital number, since it uses as much as digits as its factorization.

57638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The cubic root of 57638464 is about 386.2816990284.

The spelling of 57638464 in words is "fifty-seven million, six hundred thirty-eight thousand, four hundred sixty-four".