57699360 has 144 divisors (see below), whose sum is σ = 208569816. Its totient is φ = 14475264.

The previous prime is 57699353. The next prime is 57699379. The reversal of 57699360 is 6399675.

It can be written as a sum of positive squares in 4 ways, for example, as 44997264 + 12702096 = 6708^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57699360² = 6658432288819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23302 + ... + 25658.

Almost surely, 2^57699360 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 57699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104284908).

57699360 is an abundant number, since it is smaller than the sum of its proper divisors (150870456).

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

57699360 is a wasteful number, since it uses less digits than its factorization.

57699360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 57699360 is about 7596.0094786671. The cubic root of 57699360 is about 386.4176888370.

It can be divided in two parts, 5769 and 9360, that added together give a square (15129 = 123²).

The spelling of 57699360 in words is "fifty-seven million, six hundred ninety-nine thousand, three hundred sixty".