115085600 has 72 divisors (see below), whose sum is σ = 321104448. Its totient is φ = 39456000.

The previous prime is 115085573. The next prime is 115085611. The reversal of 115085600 is 6580511.

It is a self number, because there is not a number n which added to its sum of digits gives 115085600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4676 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (4459784).

Almost surely, 2^115085600 is an apocalyptic number.

115085600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115085600 is an abundant number, since it is smaller than the sum of its proper divisors (206018848).

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

115085600 is a wasteful number, since it uses less digits than its factorization.

115085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 115085600 is about 10727.7956729237. The cubic root of 115085600 is about 486.4150405812.

The spelling of 115085600 in words is "one hundred fifteen million, eighty-five thousand, six hundred".