113926824 has 120 divisors (see below), whose sum is σ = 350988330. Its totient is φ = 34499520.

The previous prime is 113926801. The next prime is 113926837. The reversal of 113926824 is 428629311.

It can be written as a sum of positive squares in only one way, i.e., 65901924 + 48024900 = 8118^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77682 + ... + 79134.

Almost surely, 2^113926824 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 113926824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175494165).

113926824 is an abundant number, since it is smaller than the sum of its proper divisors (237061506).

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

113926824 is a wasteful number, since it uses less digits than its factorization.

113926824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1469 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 113926824 is about 10673.6509217793. The cubic root of 113926824 is about 484.7769889088.

The spelling of 113926824 in words is "one hundred thirteen million, nine hundred twenty-six thousand, eight hundred twenty-four".