113443824 has 80 divisors (see below), whose sum is σ = 326541600. Its totient is φ = 33696768.

The previous prime is 113443823. The next prime is 113443859. The reversal of 113443824 is 428344311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113443791 and 113443800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113443823) 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, 14962 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^113443824 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 113443824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).

113443824 is an abundant number, since it is smaller than the sum of its proper divisors (213097776).

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

113443824 is a wasteful number, since it uses less digits than its factorization.

113443824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6316 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 113443824 is about 10651.0010797108. The cubic root of 113443824 is about 484.0909375380.

The spelling of 113443824 in words is "one hundred thirteen million, four hundred forty-three thousand, eight hundred twenty-four".