115968 has 36 divisors (see below), whose sum is σ = 310688. Its totient is φ = 38400.

The previous prime is 115963. The next prime is 115979. The reversal of 115968 is 869511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115963) by changing a digit.

115968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693 + ... + 843.

115968 is a Friedman number, since it can be written as 151*96*8, using all its digits and the basic arithmetic operations.

2¹¹⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344).

115968 is an abundant number, since it is smaller than the sum of its proper divisors (194720).

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

115968 is an equidigital number, since it uses as much as digits as its factorization.

115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 115968 is about 340.5407464607. The cubic root of 115968 is about 48.7655046015.

The spelling of 115968 in words is "one hundred fifteen thousand, nine hundred sixty-eight".