115506336 has 96 divisors (see below), whose sum is σ = 334756800. Its totient is φ = 34580480.

The previous prime is 115506323. The next prime is 115506343. The reversal of 115506336 is 633605511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×115506336² = 26683427312289792, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 93370 + ... + 94598.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2^115506336 is an apocalyptic number.

115506336 is a gapful number since it is divisible by the number (16) 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 115506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167378400).

115506336 is an abundant number, since it is smaller than the sum of its proper divisors (219250464).

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

115506336 is a wasteful number, since it uses less digits than its factorization.

115506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 115506336 is about 10747.3874034576. The cubic root of 115506336 is about 487.0070736154.

The spelling of 115506336 in words is "one hundred fifteen million, five hundred six thousand, three hundred thirty-six".