115984960 has 168 divisors, whose sum is σ = 346603320. Its totient is φ = 36642816.

The previous prime is 115984933. The next prime is 115984963. The reversal of 115984960 is 69489511.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 115605504 = 616^2 + 10752^2 .

It is not an unprimeable number, because it can be changed into a prime (115984963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203556 + ... + 204124.

It is an arithmetic number, because the mean of its divisors is an integer number (2063115).

Almost surely, 2^115984960 is an apocalyptic number.

115984960 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 115984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173301660).

115984960 is an abundant number, since it is smaller than the sum of its proper divisors (230618360).

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

115984960 is a wasteful number, since it uses less digits than its factorization.

115984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 115984960 is about 10769.6313771642. The cubic root of 115984960 is about 487.6788175916.

The spelling of 115984960 in words is "one hundred fifteen million, nine hundred eighty-four thousand, nine hundred sixty".