115114560 has 168 divisors, whose sum is σ = 402140928. Its totient is φ = 27878400.

The previous prime is 115114553. The next prime is 115114561. The reversal of 115114560 is 65411511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115114560.

It is not an unprimeable number, because it can be changed into a prime (115114561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115665 + ... + 116655.

It is an arithmetic number, because the mean of its divisors is an integer number (2393696).

Almost surely, 2^115114560 is an apocalyptic number.

115114560 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 115114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201070464).

115114560 is an abundant number, since it is smaller than the sum of its proper divisors (287026368).

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

115114560 is a wasteful number, since it uses less digits than its factorization.

115114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 115114560 is about 10729.1453527296. The cubic root of 115114560 is about 486.4558374552.

The spelling of 115114560 in words is "one hundred fifteen million, one hundred fourteen thousand, five hundred sixty".