95160 has 64 divisors (see below), whose sum is σ = 312480. Its totient is φ = 23040.

The previous prime is 95153. The next prime is 95177. The reversal of 95160 is 6159.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 1530 + ... + 1590.

2⁹⁵¹⁶⁰ 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 95160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

95160 is an abundant number, since it is smaller than the sum of its proper divisors (217320).

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

95160 is a wasteful number, since it uses less digits than its factorization.

95160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 95160 is about 308.4801452282. The cubic root of 95160 is about 45.6546282817.

The spelling of 95160 in words is "ninety-five thousand, one hundred sixty".