13393824 has 96 divisors (see below), whose sum is σ = 38646720. Its totient is φ = 4042752.

The previous prime is 13393817. The next prime is 13393847. The reversal of 13393824 is 42839331.

It is a happy number.

13393824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47187 + ... + 47469.

It is an arithmetic number, because the mean of its divisors is an integer number (402570).

Almost surely, 2^13393824 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 13393824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323360).

13393824 is an abundant number, since it is smaller than the sum of its proper divisors (25252896).

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

13393824 is a wasteful number, since it uses less digits than its factorization.

13393824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13393824 is about 3659.7573690069. The cubic root of 13393824 is about 237.4842774449.

The spelling of 13393824 in words is "thirteen million, three hundred ninety-three thousand, eight hundred twenty-four".