57601768 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 22825152.

The previous prime is 57601741. The next prime is 57601781. The reversal of 57601768 is 86710675.

It is a self number, because there is not a number n which added to its sum of digits gives 57601768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45123 + ... + 46381.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^57601768 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 57601768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

57601768 is an abundant number, since it is smaller than the sum of its proper divisors (75454232).

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

57601768 is a wasteful number, since it uses less digits than its factorization.

57601768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 57601768 is about 7589.5828607375. The cubic root of 57601768 is about 386.1997051565.

The spelling of 57601768 in words is "fifty-seven million, six hundred one thousand, seven hundred sixty-eight".