57079968 has 96 divisors (see below), whose sum is σ = 164892672. Its totient is φ = 17145600.

The previous prime is 57079961. The next prime is 57079973. The reversal of 57079968 is 86997075.

57079968 is nontrivially palindromic in base 7.

57079968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57079968.

It is not an unprimeable number, because it can be changed into a prime (57079961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201555 + ... + 201837.

It is an arithmetic number, because the mean of its divisors is an integer number (1717632).

Almost surely, 2^57079968 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 57079968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82446336).

57079968 is an abundant number, since it is smaller than the sum of its proper divisors (107812704).

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

57079968 is a wasteful number, since it uses less digits than its factorization.

57079968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 57079968 is about 7555.1285892432. The cubic root of 57079968 is about 385.0300038460.

The spelling of 57079968 in words is "fifty-seven million, seventy-nine thousand, nine hundred sixty-eight".