115300864 has 80 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 48402432.

The previous prime is 115300859. The next prime is 115300877. The reversal of 115300864 is 468003511.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 189649 + ... + 190255.

Almost surely, 2^115300864 is an apocalyptic number.

115300864 is a gapful number since it is divisible by the number (14) 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 115300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

115300864 is an abundant number, since it is smaller than the sum of its proper divisors (153396224).

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

115300864 is an frugal number, since it uses more digits than its factorization.

115300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 115300864 is about 10737.8239881272. The cubic root of 115300864 is about 486.7181263739.

The spelling of 115300864 in words is "one hundred fifteen million, three hundred thousand, eight hundred sixty-four".