57813264 has 100 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 18636480.

The previous prime is 57813253. The next prime is 57813289. The reversal of 57813264 is 46231875.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39457 + ... + 40895.

Almost surely, 2^57813264 is an apocalyptic number.

57813264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57813264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

57813264 is an abundant number, since it is smaller than the sum of its proper divisors (115032816).

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

57813264 is a wasteful number, since it uses less digits than its factorization.

57813264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57813264 is about 7603.5034030373. The cubic root of 57813264 is about 386.6717967347.

It can be divided in two parts, 5781 and 3264, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 57813264 in words is "fifty-seven million, eight hundred thirteen thousand, two hundred sixty-four".