57639168 has 144 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 18524160.

The previous prime is 57639167. The next prime is 57639187. The reversal of 57639168 is 86193675.

It is a happy number.

57639168 is a `hidden beast` number, since 5 + 7 + 639 + 1 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57639167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214138 + ... + 214406.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^57639168 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 57639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

57639168 is an abundant number, since it is smaller than the sum of its proper divisors (118962432).

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

57639168 is a wasteful number, since it uses less digits than its factorization.

57639168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 57639168 is about 7592.0463644527. The cubic root of 57639168 is about 386.2832717121.

The spelling of 57639168 in words is "fifty-seven million, six hundred thirty-nine thousand, one hundred sixty-eight".