115588320 has 96 divisors (see below), whose sum is σ = 365910048. Its totient is φ = 30670848.

The previous prime is 115588313. The next prime is 115588327. The reversal of 115588320 is 23885511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115588313) and next prime (115588327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115588327) 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, 122892 + ... + 123828.

It is an arithmetic number, because the mean of its divisors is an integer number (3811563).

Almost surely, 2^115588320 is an apocalyptic number.

115588320 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 115588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182955024).

115588320 is an abundant number, since it is smaller than the sum of its proper divisors (250321728).

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

115588320 is a wasteful number, since it uses less digits than its factorization.

115588320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 115588320 is about 10751.2008631594. The cubic root of 115588320 is about 487.1222688697.

The spelling of 115588320 in words is "one hundred fifteen million, five hundred eighty-eight thousand, three hundred twenty".