115685600 has 72 divisors (see below), whose sum is σ = 289387728. Its totient is φ = 45132800.

The previous prime is 115685587. The next prime is 115685621. The reversal of 115685600 is 6586511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31037 + ... + 34563.

It is an arithmetic number, because the mean of its divisors is an integer number (4019274).

Almost surely, 2^115685600 is an apocalyptic number.

115685600 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 115685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693864).

115685600 is an abundant number, since it is smaller than the sum of its proper divisors (173702128).

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

115685600 is a wasteful number, since it uses less digits than its factorization.

115685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 115685600 is about 10755.7240574496. The cubic root of 115685600 is about 487.2588858068.

The spelling of 115685600 in words is "one hundred fifteen million, six hundred eighty-five thousand, six hundred".