115965360 has 360 divisors, whose sum is σ = 479634480. Its totient is φ = 24966144.

The previous prime is 115965323. The next prime is 115965413. The reversal of 115965360 is 63569511.

115965360 is a `hidden beast` number, since 1 + 1 + 596 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670234 + ... + 670406.

It is an arithmetic number, because the mean of its divisors is an integer number (1332318).

Almost surely, 2^115965360 is an apocalyptic number.

115965360 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 115965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239817240).

115965360 is an abundant number, since it is smaller than the sum of its proper divisors (363669120).

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

115965360 is a wasteful number, since it uses less digits than its factorization.

115965360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 115965360 is about 10768.7213725679. The cubic root of 115965360 is about 487.6513455145.

The spelling of 115965360 in words is "one hundred fifteen million, nine hundred sixty-five thousand, three hundred sixty".