115286800 has 60 divisors (see below), whose sum is σ = 278013456. Its totient is φ = 45942400.

The previous prime is 115286791. The next prime is 115286807. The reversal of 115286800 is 8682511.

It is not an unprimeable number, because it can be changed into a prime (115286807) 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 11 ways as a sum of consecutive naturals, for example, 196107 + ... + 196693.

Almost surely, 2^115286800 is an apocalyptic number.

115286800 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 115286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139006728).

115286800 is an abundant number, since it is smaller than the sum of its proper divisors (162726656).

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

115286800 is a wasteful number, since it uses less digits than its factorization.

115286800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 115286800 is about 10737.1690868683. The cubic root of 115286800 is about 486.6983361722.

The spelling of 115286800 in words is "one hundred fifteen million, two hundred eighty-six thousand, eight hundred".