13608640 has 84 divisors (see below), whose sum is σ = 34619184. Its totient is φ = 5085696.

The previous prime is 13608631. The next prime is 13608649. The reversal of 13608640 is 4680631.

13608640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13608631) and next prime (13608649).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13608599 and 13608608.

It is not an unprimeable number, because it can be changed into a prime (13608649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316459 + ... + 316501.

Almost surely, 2^13608640 is an apocalyptic number.

13608640 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 13608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309592).

13608640 is an abundant number, since it is smaller than the sum of its proper divisors (21010544).

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

13608640 is an equidigital number, since it uses as much as digits as its factorization.

13608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 13608640 is about 3688.9890213987. The cubic root of 13608640 is about 238.7471752085.

It can be divided in two parts, 1360 and 8640, that added together give a 4-th power (10000 = 10⁴).

The spelling of 13608640 in words is "thirteen million, six hundred eight thousand, six hundred forty".