115896960 has 256 divisors, whose sum is σ = 433296000. Its totient is φ = 29196288.

The previous prime is 115896947. The next prime is 115896961. The reversal of 115896960 is 69698511.

115896960 is a `hidden beast` number, since 1 + 1 + 589 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115896961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328144 + ... + 328496.

Almost surely, 2^115896960 is an apocalyptic number.

115896960 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 115896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216648000).

115896960 is an abundant number, since it is smaller than the sum of its proper divisors (317399040).

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

115896960 is a wasteful number, since it uses less digits than its factorization.

115896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 115896960 is about 10765.5450396160. The cubic root of 115896960 is about 487.5554493141. Note that the first 3 decimals are identical.

The spelling of 115896960 in words is "one hundred fifteen million, eight hundred ninety-six thousand, nine hundred sixty".