57065600 has 96 divisors (see below), whose sum is σ = 149404500. Its totient is φ = 21463040.

The previous prime is 57065597. The next prime is 57065621. The reversal of 57065600 is 656075.

It can be written as a sum of positive squares in 6 ways, for example, as 41886784 + 15178816 = 6472^2 + 3896^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53876 + ... + 54924.

Almost surely, 2^57065600 is an apocalyptic number.

57065600 is a gapful number since it is divisible by the number (50) 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 57065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74702250).

57065600 is an abundant number, since it is smaller than the sum of its proper divisors (92338900).

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

57065600 is a wasteful number, since it uses less digits than its factorization.

57065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 57065600 is about 7554.1776521340. The cubic root of 57065600 is about 384.9976949319.

The spelling of 57065600 in words is "fifty-seven million, sixty-five thousand, six hundred".