13608720 has 120 divisors (see below), whose sum is σ = 46918872. Its totient is φ = 3532800.

The previous prime is 13608719. The next prime is 13608739. The reversal of 13608720 is 2780631.

13608720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3689²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 13571856 = 192^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29290 + ... + 29750.

Almost surely, 2^13608720 is an apocalyptic number.

13608720 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 13608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

13608720 is an abundant number, since it is smaller than the sum of its proper divisors (33310152).

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

13608720 is a wasteful number, since it uses less digits than its factorization.

13608720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

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

The square root of 13608720 is about 3688.9998644619. Note that the first 3 decimals coincide. The cubic root of 13608720 is about 238.7476430421.

The spelling of 13608720 in words is "thirteen million, six hundred eight thousand, seven hundred twenty".