115626 has 16 divisors (see below), whose sum is σ = 264384. Its totient is φ = 33024.

The previous prime is 115613. The next prime is 115631. The reversal of 115626 is 626511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115626.

It is an unprimeable number.

115626 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (16524).

2¹¹⁵⁶²⁶ is an apocalyptic number.

115626 is an abundant number, since it is smaller than the sum of its proper divisors (148758).

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

115626 is a wasteful number, since it uses less digits than its factorization.

115626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765.

The product of its digits is 360, while the sum is 21.

The square root of 115626 is about 340.0382331445. The cubic root of 115626 is about 48.7175194555.

It can be divided in two parts, 115 and 626, that added together give a triangular number (741 = T₃₈).

The spelling of 115626 in words is "one hundred fifteen thousand, six hundred twenty-six".