115368960 has 352 divisors, whose sum is σ = 448047360. Its totient is φ = 24772608.

The previous prime is 115368899. The next prime is 115368971. The reversal of 115368960 is 69863511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3118062 + ... + 3118098.

Almost surely, 2^115368960 is an apocalyptic number.

115368960 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 115368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224023680).

115368960 is an abundant number, since it is smaller than the sum of its proper divisors (332678400).

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

115368960 is a wasteful number, since it uses less digits than its factorization.

115368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 115368960 is about 10740.9943673759. The cubic root of 115368960 is about 486.8139251209.

The spelling of 115368960 in words is "one hundred fifteen million, three hundred sixty-eight thousand, nine hundred sixty".