115917516 has 216 divisors, whose sum is σ = 365994720. Its totient is φ = 30666240.

The previous prime is 115917497. The next prime is 115917523. The reversal of 115917516 is 615719511.

115917516 is a `hidden beast` number, since 11 + 591 + 7 + 51 + 6 = 666.

It is a super-2 number, since 2×115917516² = 26873741031220512, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1302400 + ... + 1302488.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^115917516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115917516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

115917516 is an abundant number, since it is smaller than the sum of its proper divisors (250077204).

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

115917516 is a wasteful number, since it uses less digits than its factorization.

115917516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its digits is 9450, while the sum is 36.

The square root of 115917516 is about 10766.4997097478. The cubic root of 115917516 is about 487.5842726107.

The spelling of 115917516 in words is "one hundred fifteen million, nine hundred seventeen thousand, five hundred sixteen".