115905984 has 112 divisors (see below), whose sum is σ = 319186560. Its totient is φ = 37094400.

The previous prime is 115905971. The next prime is 115905989. The reversal of 115905984 is 489509511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115905989) 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, 833787 + ... + 833925.

It is an arithmetic number, because the mean of its divisors is an integer number (2849880).

Almost surely, 2^115905984 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 115905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159593280).

115905984 is an abundant number, since it is smaller than the sum of its proper divisors (203280576).

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

115905984 is a wasteful number, since it uses less digits than its factorization.

115905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 115905984 is about 10765.9641463271. The cubic root of 115905984 is about 487.5681030432.

The spelling of 115905984 in words is "one hundred fifteen million, nine hundred five thousand, nine hundred eighty-four".