115305984 has 160 divisors (see below), whose sum is σ = 360096000. Its totient is φ = 36329472.

The previous prime is 115305979. The next prime is 115305989. The reversal of 115305984 is 489503511.

115305984 is a `hidden beast` number, since 11 + 53 + 0 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115305979) and next prime (115305989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115305989) 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, 262437 + ... + 262875.

It is an arithmetic number, because the mean of its divisors is an integer number (2250600).

Almost surely, 2^115305984 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 115305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048000).

115305984 is an abundant number, since it is smaller than the sum of its proper divisors (244790016).

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

115305984 is an equidigital number, since it uses as much as digits as its factorization.

115305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 115305984 is about 10738.0623950506. The cubic root of 115305984 is about 486.7253305984.

The spelling of 115305984 in words is "one hundred fifteen million, three hundred five thousand, nine hundred eighty-four".