113599824 has 80 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 34781184.

The previous prime is 113599823. The next prime is 113599861. The reversal of 113599824 is 428995311.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113599823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191272 + ... + 191864.

Almost surely, 2^113599824 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 113599824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

113599824 is an abundant number, since it is smaller than the sum of its proper divisors (204004848).

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

113599824 is a wasteful number, since it uses less digits than its factorization.

113599824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 113599824 is about 10658.3218191233. The cubic root of 113599824 is about 484.3127318859.

The spelling of 113599824 in words is "one hundred thirteen million, five hundred ninety-nine thousand, eight hundred twenty-four".