57655368 has 64 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 19131840.

The previous prime is 57655349. The next prime is 57655373. The reversal of 57655368 is 86355675.

57655368 is a `hidden beast` number, since 57 + 65 + 536 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62833 + ... + 63743.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^57655368 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 57655368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

57655368 is an abundant number, since it is smaller than the sum of its proper divisors (103221432).

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

57655368 is a wasteful number, since it uses less digits than its factorization.

57655368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 57655368 is about 7593.1131955213. The cubic root of 57655368 is about 386.3194577700.

The spelling of 57655368 in words is "fifty-seven million, six hundred fifty-five thousand, three hundred sixty-eight".