57655360 has 84 divisors (see below), whose sum is σ = 159750252. Its totient is φ = 19762176.

The previous prime is 57655349. The next prime is 57655373. The reversal of 57655360 is 6355675.

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 23736384 = 5824^2 + 4872^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13842 + ... + 17518.

Almost surely, 2^57655360 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 57655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79875126).

57655360 is an abundant number, since it is smaller than the sum of its proper divisors (102094892).

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

57655360 is a wasteful number, since it uses less digits than its factorization.

57655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 37.

The square root of 57655360 is about 7593.1126687282. The cubic root of 57655360 is about 386.3194399021.

The spelling of 57655360 in words is "fifty-seven million, six hundred fifty-five thousand, three hundred sixty".