13723920 has 180 divisors, whose sum is σ = 53752140. Its totient is φ = 3128832.

The previous prime is 13723907. The next prime is 13723961. The reversal of 13723920 is 2932731.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 9659664 = 2016^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35086 + ... + 35474.

It is an arithmetic number, because the mean of its divisors is an integer number (298623).

Almost surely, 2^13723920 is an apocalyptic number.

13723920 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 13723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876070).

13723920 is an abundant number, since it is smaller than the sum of its proper divisors (40028220).

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

13723920 is a wasteful number, since it uses less digits than its factorization.

13723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13723920 is about 3704.5809479616. The cubic root of 13723920 is about 239.4194300430.

The spelling of 13723920 in words is "thirteen million, seven hundred twenty-three thousand, nine hundred twenty".