115004960 has 72 divisors (see below), whose sum is σ = 316079820. Its totient is φ = 39427584.

The previous prime is 115004941. The next prime is 115004969. The reversal of 115004960 is 69400511.

It can be written as a sum of positive squares in 2 ways, for example, as 115004176 + 784 = 10724^2 + 28^2 .

It is a super-2 number, since 2×115004960² = 26452281649203200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115004969) by changing a digit.

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, 506 + ... + 15174.

Almost surely, 2^115004960 is an apocalyptic number.

115004960 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 115004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158039910).

115004960 is an abundant number, since it is smaller than the sum of its proper divisors (201074860).

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

115004960 is a wasteful number, since it uses less digits than its factorization.

115004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 115004960 is about 10724.0365534625. The cubic root of 115004960 is about 486.3014043721.

The spelling of 115004960 in words is "one hundred fifteen million, four thousand, nine hundred sixty".