115839360 has 576 divisors, whose sum is σ = 524141280. Its totient is φ = 23003136.

The previous prime is 115839337. The next prime is 115839379. The reversal of 115839360 is 63938511.

It is a happy number.

115839360 is a `hidden beast` number, since 11 + 583 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6814072 + ... + 6814088.

Almost surely, 2^115839360 is an apocalyptic number.

115839360 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 115839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262070640).

115839360 is an abundant number, since it is smaller than the sum of its proper divisors (408301920).

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

115839360 is a wasteful number, since it uses less digits than its factorization.

115839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 115839360 is about 10762.8695058521. The cubic root of 115839360 is about 487.4746653501.

The spelling of 115839360 in words is "one hundred fifteen million, eight hundred thirty-nine thousand, three hundred sixty".