57950160 has 80 divisors (see below), whose sum is σ = 185464320. Its totient is φ = 14952960.

The previous prime is 57950143. The next prime is 57950173. The reversal of 57950160 is 6105975.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (2318304).

Almost surely, 2^57950160 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 57950160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92732160).

57950160 is an abundant number, since it is smaller than the sum of its proper divisors (127514160).

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

57950160 is a wasteful number, since it uses less digits than its factorization.

57950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 57950160 is about 7612.5002463054. The cubic root of 57950160 is about 386.9767561439.

The spelling of 57950160 in words is "fifty-seven million, nine hundred fifty thousand, one hundred sixty".