115086384 has 240 divisors, whose sum is σ = 396165120. Its totient is φ = 30481920.

The previous prime is 115086359. The next prime is 115086397. The reversal of 115086384 is 483680511.

115086384 is a `hidden beast` number, since 1 + 15 + 0 + 8 + 638 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906129 + ... + 906255.

It is an arithmetic number, because the mean of its divisors is an integer number (1650688).

Almost surely, 2^115086384 is an apocalyptic number.

115086384 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 115086384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198082560).

115086384 is an abundant number, since it is smaller than the sum of its proper divisors (281078736).

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

115086384 is a wasteful number, since it uses less digits than its factorization.

115086384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 115086384 is about 10727.8322134530. The cubic root of 115086384 is about 486.4161451171.

The spelling of 115086384 in words is "one hundred fifteen million, eighty-six thousand, three hundred eighty-four".