115884960 has 96 divisors (see below), whose sum is σ = 368105472. Its totient is φ = 30643200.

The previous prime is 115884947. The next prime is 115884961. The reversal of 115884960 is 69488511.

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

It is not an unprimeable number, because it can be changed into a prime (115884961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60010 + ... + 61910.

It is an arithmetic number, because the mean of its divisors is an integer number (3834432).

Almost surely, 2^115884960 is an apocalyptic number.

115884960 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 115884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184052736).

115884960 is an abundant number, since it is smaller than the sum of its proper divisors (252220512).

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

115884960 is a wasteful number, since it uses less digits than its factorization.

115884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 115884960 is about 10764.9876915861. The cubic root of 115884960 is about 487.5386215293.

The spelling of 115884960 in words is "one hundred fifteen million, eight hundred eighty-four thousand, nine hundred sixty".