115585008 has 120 divisors (see below), whose sum is σ = 375225984. Its totient is φ = 30011520.

The previous prime is 115584991. The next prime is 115585021. The reversal of 115585008 is 800585511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 115585008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39235 + ... + 42077.

Almost surely, 2^115585008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115585008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187612992).

115585008 is an abundant number, since it is smaller than the sum of its proper divisors (259640976).

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

115585008 is a wasteful number, since it uses less digits than its factorization.

115585008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The square root of 115585008 is about 10751.0468327508. The cubic root of 115585008 is about 487.1176162533.

The spelling of 115585008 in words is "one hundred fifteen million, five hundred eighty-five thousand, eight".