13806720 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 3391488.

The previous prime is 13806719. The next prime is 13806733. The reversal of 13806720 is 2760831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293737 + ... + 293783.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^13806720 is an apocalyptic number.

13806720 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 13806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

13806720 is an abundant number, since it is smaller than the sum of its proper divisors (39070080).

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

13806720 is a wasteful number, since it uses less digits than its factorization.

13806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13806720 is about 3715.7394957128. The cubic root of 13806720 is about 239.8999583044.

It can be divided in two parts, 1380 and 6720, that added together give a square (8100 = 90²).

The spelling of 13806720 in words is "thirteen million, eight hundred six thousand, seven hundred twenty".