57116160 has 240 divisors, whose sum is σ = 206187696. Its totient is φ = 14598144.

The previous prime is 57116159. The next prime is 57116173. The reversal of 57116160 is 6161175.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852447 + ... + 852513.

Almost surely, 2^57116160 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 57116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103093848).

57116160 is an abundant number, since it is smaller than the sum of its proper divisors (149071536).

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

57116160 is a wasteful number, since it uses less digits than its factorization.

57116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57116160 is about 7557.5234038672. The cubic root of 57116160 is about 385.1113637476. Note that the first 3 decimals are identical.

The spelling of 57116160 in words is "fifty-seven million, one hundred sixteen thousand, one hundred sixty".