13924320 has 48 divisors (see below), whose sum is σ = 43863120. Its totient is φ = 3713024.

The previous prime is 13924289. The next prime is 13924327. The reversal of 13924320 is 2342931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13924327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14025 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (913815).

Almost surely, 2^13924320 is an apocalyptic number.

13924320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13924320 is an abundant number, since it is smaller than the sum of its proper divisors (29938800).

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

13924320 is a wasteful number, since it uses less digits than its factorization.

13924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29027 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13924320 is about 3731.5305170935. The cubic root of 13924320 is about 240.5791568370.

The spelling of 13924320 in words is "thirteen million, nine hundred twenty-four thousand, three hundred twenty".