115623936 has 240 divisors, whose sum is σ = 374594220. Its totient is φ = 35389440.

The previous prime is 115623929. The next prime is 115623941. The reversal of 115623936 is 639326511.

115623936 is a `hidden beast` number, since 1 + 1 + 562 + 3 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 2073600 = 10656^2 + 1440^2 .

It is a super-3 number, since 3×115623936³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115623936.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820076 + ... + 2820116.

Almost surely, 2^115623936 is an apocalyptic number.

115623936 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 115623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187297110).

115623936 is an abundant number, since it is smaller than the sum of its proper divisors (258970284).

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

115623936 is an equidigital number, since it uses as much as digits as its factorization.

115623936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 115623936 is about 10752.8571086944. The cubic root of 115623936 is about 487.1722957383.

The spelling of 115623936 in words is "one hundred fifteen million, six hundred twenty-three thousand, nine hundred thirty-six".