13944320 has 80 divisors (see below), whose sum is σ = 36091440. Its totient is φ = 5136384.

The previous prime is 13944299. The next prime is 13944323. The reversal of 13944320 is 2344931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13944320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13944323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33071 + ... + 33489.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 2^13944320 is an apocalyptic number.

13944320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045720).

13944320 is an abundant number, since it is smaller than the sum of its proper divisors (22147120).

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

13944320 is an equidigital number, since it uses as much as digits as its factorization.

13944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 13944320 is about 3734.2094210154. The cubic root of 13944320 is about 240.6942858892.

The spelling of 13944320 in words is "thirteen million, nine hundred forty-four thousand, three hundred twenty".