115668 has 72 divisors (see below), whose sum is σ = 366912. Its totient is φ = 31104.

The previous prime is 115663. The next prime is 115679. The reversal of 115668 is 866511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115663) 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, 6796 + ... + 6812.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2¹¹⁵⁶⁶⁸ is an apocalyptic number.

115668 is a gapful number since it is divisible by the number (18) 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 115668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

115668 is an abundant number, since it is smaller than the sum of its proper divisors (251244).

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

115668 is a wasteful number, since it uses less digits than its factorization.

115668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 115668 is about 340.0999852984. The cubic root of 115668 is about 48.7234174603.

The spelling of 115668 in words is "one hundred fifteen thousand, six hundred sixty-eight".