13809360 has 80 divisors (see below), whose sum is σ = 43193664. Its totient is φ = 3649536.

The previous prime is 13809359. The next prime is 13809373. The reversal of 13809360 is 6390831.

13809360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38944 + ... + 39296.

Almost surely, 2^13809360 is an apocalyptic number.

13809360 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 13809360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596832).

13809360 is an abundant number, since it is smaller than the sum of its proper divisors (29384304).

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

13809360 is a wasteful number, since it uses less digits than its factorization.

13809360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13809360 is about 3716.0947243040. The cubic root of 13809360 is about 239.9152478524.

The spelling of 13809360 in words is "thirteen million, eight hundred nine thousand, three hundred sixty".