115884 has 48 divisors (see below), whose sum is σ = 319200. Its totient is φ = 36288.

The previous prime is 115883. The next prime is 115891. The reversal of 115884 is 488511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115884.

It is not an unprimeable number, because it can be changed into a prime (115883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3114 + ... + 3150.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2¹¹⁵⁸⁸⁴ 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 115884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600).

115884 is an abundant number, since it is smaller than the sum of its proper divisors (203316).

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

115884 is a wasteful number, since it uses less digits than its factorization.

115884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 115884 is about 340.4173908601. The cubic root of 115884 is about 48.7537275256.

It can be divided in two parts, 115 and 884, that added together give a palindrome (999).

The spelling of 115884 in words is "one hundred fifteen thousand, eight hundred eighty-four".