115584120 has 96 divisors (see below), whose sum is σ = 387803520. Its totient is φ = 29825280.

The previous prime is 115584107. The next prime is 115584143. The reversal of 115584120 is 21485511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5982 + ... + 16338.

It is an arithmetic number, because the mean of its divisors is an integer number (4039620).

Almost surely, 2^115584120 is an apocalyptic number.

115584120 is a gapful number since it is divisible by the number (10) 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 115584120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193901760).

115584120 is an abundant number, since it is smaller than the sum of its proper divisors (272219400).

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

115584120 is a wasteful number, since it uses less digits than its factorization.

115584120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10405 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115584120 is about 10751.0055343675. The cubic root of 115584120 is about 487.1163687975.

The spelling of 115584120 in words is "one hundred fifteen million, five hundred eighty-four thousand, one hundred twenty".