115918560 has 96 divisors (see below), whose sum is σ = 405730080. Its totient is φ = 30910464.

The previous prime is 115918559. The next prime is 115918567. The reversal of 115918560 is 65819511.

115918560 is a `hidden beast` number, since 1 + 1 + 5 + 91 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×115918560² = 26874225104947200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115918567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9097 + ... + 17736.

It is an arithmetic number, because the mean of its divisors is an integer number (4226355).

Almost surely, 2^115918560 is an apocalyptic number.

115918560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115918560 is an abundant number, since it is smaller than the sum of its proper divisors (289811520).

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

115918560 is a wasteful number, since it uses less digits than its factorization.

115918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26857 (or 26843 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 115918560 is about 10766.5481933626. The cubic root of 115918560 is about 487.5857364000.

The spelling of 115918560 in words is "one hundred fifteen million, nine hundred eighteen thousand, five hundred sixty".