115006920 has 96 divisors (see below), whose sum is σ = 401371200. Its totient is φ = 26285952.

The previous prime is 115006909. The next prime is 115006933. The reversal of 115006920 is 29600511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3900 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (4180950).

Almost surely, 2^115006920 is an apocalyptic number.

115006920 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 115006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200685600).

115006920 is an abundant number, since it is smaller than the sum of its proper divisors (286364280).

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

115006920 is a wasteful number, since it uses less digits than its factorization.

115006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 115006920 is about 10724.1279365737. The cubic root of 115006920 is about 486.3041669930.

The spelling of 115006920 in words is "one hundred fifteen million, six thousand, nine hundred twenty".