115888960 has 168 divisors, whose sum is σ = 314983368. Its totient is φ = 40550400.

The previous prime is 115888957. The next prime is 115888979. The reversal of 115888960 is 69888511.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 115261696 = 792^2 + 10736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115888960.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1587484 + ... + 1587556.

It is an arithmetic number, because the mean of its divisors is an integer number (1874901).

Almost surely, 2^115888960 is an apocalyptic number.

115888960 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 115888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157491684).

115888960 is an abundant number, since it is smaller than the sum of its proper divisors (199094408).

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

115888960 is a wasteful number, since it uses less digits than its factorization.

115888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 115888960 is about 10765.1734774689. The cubic root of 115888960 is about 487.5442309200.

The spelling of 115888960 in words is "one hundred fifteen million, eight hundred eighty-eight thousand, nine hundred sixty".