115584320 has 42 divisors (see below), whose sum is σ = 275693886. Its totient is φ = 46156800.

The previous prime is 115584319. The next prime is 115584341. The reversal of 115584320 is 23485511.

It can be written as a sum of positive squares in 3 ways, for example, as 47554816 + 68029504 = 6896^2 + 8248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192020 + ... + 192620.

Almost surely, 2^115584320 is an apocalyptic number.

115584320 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 115584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137846943).

115584320 is an abundant number, since it is smaller than the sum of its proper divisors (160109566).

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

115584320 is an frugal number, since it uses more digits than its factorization.

115584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 115584320 is about 10751.0148358190. The cubic root of 115584320 is about 487.1166497566.

The spelling of 115584320 in words is "one hundred fifteen million, five hundred eighty-four thousand, three hundred twenty".