57939168 has 144 divisors (see below), whose sum is σ = 180124560. Its totient is φ = 16257024.

The previous prime is 57939157. The next prime is 57939169. The reversal of 57939168 is 86193975.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57939169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512680 + ... + 512792.

It is an arithmetic number, because the mean of its divisors is an integer number (1250865).

Almost surely, 2^57939168 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 57939168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90062280).

57939168 is an abundant number, since it is smaller than the sum of its proper divisors (122185392).

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

57939168 is a wasteful number, since it uses less digits than its factorization.

57939168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 57939168 is about 7611.7782416463. The cubic root of 57939168 is about 386.9522873160.

The spelling of 57939168 in words is "fifty-seven million, nine hundred thirty-nine thousand, one hundred sixty-eight".