13813920 has 144 divisors (see below), whose sum is σ = 48294792. Its totient is φ = 3594240.

The previous prime is 13813903. The next prime is 13813927. The reversal of 13813920 is 2931831.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 5588496 = 2868^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13813927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76230 + ... + 76410.

Almost surely, 2^13813920 is an apocalyptic number.

13813920 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 13813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147396).

13813920 is an abundant number, since it is smaller than the sum of its proper divisors (34480872).

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

13813920 is a wasteful number, since it uses less digits than its factorization.

13813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13813920 is about 3716.7082209934. The cubic root of 13813920 is about 239.9416524827.

The spelling of 13813920 in words is "thirteen million, eight hundred thirteen thousand, nine hundred twenty".