115824 has 40 divisors (see below), whose sum is σ = 317440. Its totient is φ = 36288.

The previous prime is 115823. The next prime is 115831. The reversal of 115824 is 428511.

It is a self number, because there is not a number n which added to its sum of digits gives 115824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (7936).

2¹¹⁵⁸²⁴ 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 115824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158720).

115824 is an abundant number, since it is smaller than the sum of its proper divisors (201616).

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

115824 is a wasteful number, since it uses less digits than its factorization.

115824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 115824 is about 340.3292523425. The cubic root of 115824 is about 48.7453118437.

It can be divided in two parts, 115 and 824, that added together give a palindrome (939).

The spelling of 115824 in words is "one hundred fifteen thousand, eight hundred twenty-four".