115088960 has 112 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 39106560.

The previous prime is 115088923. The next prime is 115088983. The reversal of 115088960 is 69880511.

It is a tau number, because it is divible by the number of its divisors (112).

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, 427706 + ... + 427974.

Almost surely, 2^115088960 is an apocalyptic number.

115088960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

115088960 is an abundant number, since it is smaller than the sum of its proper divisors (200927680).

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

115088960 is a wasteful number, since it uses less digits than its factorization.

115088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 115088960 is about 10727.9522743159. The cubic root of 115088960 is about 486.4197742711.

The spelling of 115088960 in words is "one hundred fifteen million, eighty-eight thousand, nine hundred sixty".