115875360 has 120 divisors (see below), whose sum is σ = 408989196. Its totient is φ = 30896640.

The previous prime is 115875359. The next prime is 115875373. The reversal of 115875360 is 63578511.

115875360 is a `hidden beast` number, since 11 + 587 + 5 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 11664 = 10764^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8490 + ... + 17430.

Almost surely, 2^115875360 is an apocalyptic number.

115875360 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 115875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204494598).

115875360 is an abundant number, since it is smaller than the sum of its proper divisors (293113836).

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

115875360 is an equidigital number, since it uses as much as digits as its factorization.

115875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8968 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 115875360 is about 10764.5417923848. The cubic root of 115875360 is about 487.5251584649.

The spelling of 115875360 in words is "one hundred fifteen million, eight hundred seventy-five thousand, three hundred sixty".