115032960 has 320 divisors, whose sum is σ = 470970720. Its totient is φ = 26210304.

The previous prime is 115032947. The next prime is 115032961. The reversal of 115032960 is 69230511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115032961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362722 + ... + 363038.

Almost surely, 2^115032960 is an apocalyptic number.

115032960 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 115032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235485360).

115032960 is an abundant number, since it is smaller than the sum of its proper divisors (355937760).

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

115032960 is an equidigital number, since it uses as much as digits as its factorization.

115032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 115032960 is about 10725.3419525906. The cubic root of 115032960 is about 486.3408674075.

The spelling of 115032960 in words is "one hundred fifteen million, thirty-two thousand, nine hundred sixty".