115858160 has 120 divisors (see below), whose sum is σ = 305859888. Its totient is φ = 40473600.

The previous prime is 115858157. The next prime is 115858177. The reversal of 115858160 is 61858511.

It is a super-2 number, since 2×115858160² = 26846226477171200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115858160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845612 + ... + 845748.

Almost surely, 2^115858160 is an apocalyptic number.

115858160 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 115858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152929944).

115858160 is an abundant number, since it is smaller than the sum of its proper divisors (190001728).

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

115858160 is a wasteful number, since it uses less digits than its factorization.

115858160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The square root of 115858160 is about 10763.7428434537. The cubic root of 115858160 is about 487.5010352816.

The spelling of 115858160 in words is "one hundred fifteen million, eight hundred fifty-eight thousand, one hundred sixty".