57968160 has 48 divisors (see below), whose sum is σ = 182601216. Its totient is φ = 15458048.

The previous prime is 57968153. The next prime is 57968161. The reversal of 57968160 is 6186975.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (57968161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59904 + ... + 60863.

It is an arithmetic number, because the mean of its divisors is an integer number (3804192).

Almost surely, 2^57968160 is an apocalyptic number.

It is an amenable number.

57968160 is an abundant number, since it is smaller than the sum of its proper divisors (124633056).

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

57968160 is a wasteful number, since it uses less digits than its factorization.

57968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120785 (or 120777 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 57968160 is about 7613.6824204848. The cubic root of 57968160 is about 387.0168185040.

The spelling of 57968160 in words is "fifty-seven million, nine hundred sixty-eight thousand, one hundred sixty".