115320960 has 96 divisors (see below), whose sum is σ = 398237580. Its totient is φ = 30750720.

The previous prime is 115320941. The next prime is 115320973. The reversal of 115320960 is 69023511.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 14197824 = 10056^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 4251 + ... + 15770.

Almost surely, 2^115320960 is an apocalyptic number.

115320960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115320960 is an abundant number, since it is smaller than the sum of its proper divisors (282916620).

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

115320960 is a wasteful number, since it uses less digits than its factorization.

115320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 115320960 is about 10738.7597049194. The cubic root of 115320960 is about 486.7464017309.

The spelling of 115320960 in words is "one hundred fifteen million, three hundred twenty thousand, nine hundred sixty".