115808 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 44160.

The previous prime is 115807. The next prime is 115811. The reversal of 115808 is 808511.

It is a super-2 number, since 2×115808² = 26822985728, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2441 + ... + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹¹⁵⁸⁰⁸ 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 115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

115808 is an abundant number, since it is smaller than the sum of its proper divisors (174496).

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

115808 is a wasteful number, since it uses less digits than its factorization.

115808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 115808 is about 340.3057448825. The cubic root of 115808 is about 48.7430671710.

The spelling of 115808 in words is "one hundred fifteen thousand, eight hundred eight".