13924224 has 160 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 4313088.

The previous prime is 13924219. The next prime is 13924249. The reversal of 13924224 is 42242931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176217 + ... + 176295.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 2^13924224 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 13924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

13924224 is an abundant number, since it is smaller than the sum of its proper divisors (30506976).

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

13924224 is an equidigital number, since it uses as much as digits as its factorization.

13924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13924224 is about 3731.5176537168. The cubic root of 13924224 is about 240.5786039518.

The spelling of 13924224 in words is "thirteen million, nine hundred twenty-four thousand, two hundred twenty-four".