57693168 has 80 divisors (see below), whose sum is σ = 178356640. Its totient is φ = 17750016.

The previous prime is 57693157. The next prime is 57693169. The reversal of 57693168 is 86139675.

It is a happy number.

57693168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57693169) 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, 480 + ... + 10752.

It is an arithmetic number, because the mean of its divisors is an integer number (2229458).

Almost surely, 2^57693168 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 57693168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89178320).

57693168 is an abundant number, since it is smaller than the sum of its proper divisors (120663472).

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

57693168 is a wasteful number, since it uses less digits than its factorization.

57693168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10291 counting only the distinct ones).

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

The square root of 57693168 is about 7595.6018853018. The cubic root of 57693168 is about 386.4038655529.

The spelling of 57693168 in words is "fifty-seven million, six hundred ninety-three thousand, one hundred sixty-eight".