115459920 has 120 divisors (see below), whose sum is σ = 410605416. Its totient is φ = 28975104.

The previous prime is 115459919. The next prime is 115459957. The reversal of 115459920 is 29954511.

115459920 is a `hidden beast` number, since 1 + 1 + 545 + 99 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 81866304 = 5796^2 + 9048^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 7524 + ... + 16956.

Almost surely, 2^115459920 is an apocalyptic number.

115459920 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 115459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205302708).

115459920 is an abundant number, since it is smaller than the sum of its proper divisors (295145496).

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

115459920 is a wasteful number, since it uses less digits than its factorization.

115459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 115459920 is about 10745.2277779487. The cubic root of 115459920 is about 486.9418305887.

The spelling of 115459920 in words is "one hundred fifteen million, four hundred fifty-nine thousand, nine hundred twenty".