57198968 has 64 divisors (see below), whose sum is σ = 119040000. Its totient is φ = 25660800.

The previous prime is 57198959. The next prime is 57198971. The reversal of 57198968 is 86989175.

57198968 = 107³ + 108³ + ... + 137³.

57198968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7563²-1.

It is a congruent number.

It is an unprimeable number.

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, 287333 + ... + 287531.

It is an arithmetic number, because the mean of its divisors is an integer number (1860000).

Almost surely, 2^57198968 is an apocalyptic number.

It is an amenable number.

57198968 is an abundant number, since it is smaller than the sum of its proper divisors (61841032).

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

57198968 is a wasteful number, since it uses less digits than its factorization.

57198968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 53.

The square root of 57198968 is about 7562.9999338887. Note that the first 4 decimals coincide. The cubic root of 57198968 is about 385.2973875892.

The spelling of 57198968 in words is "fifty-seven million, one hundred ninety-eight thousand, nine hundred sixty-eight".