115888608 has 144 divisors (see below), whose sum is σ = 363360816. Its totient is φ = 34744320.

The previous prime is 115888603. The next prime is 115888621. The reversal of 115888608 is 806888511.

It is a happy number.

115888608 is a `hidden beast` number, since 1 + 1 + 588 + 8 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115888601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497260 + ... + 497492.

It is an arithmetic number, because the mean of its divisors is an integer number (2523339).

Almost surely, 2^115888608 is an apocalyptic number.

115888608 is a gapful number since it is divisible by the number (18) 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 115888608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181680408).

115888608 is an abundant number, since it is smaller than the sum of its proper divisors (247472208).

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

115888608 is a wasteful number, since it uses less digits than its factorization.

115888608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 115888608 is about 10765.1571284399. The cubic root of 115888608 is about 487.5437372988.

The spelling of 115888608 in words is "one hundred fifteen million, eight hundred eighty-eight thousand, six hundred eight".