13616960 has 56 divisors (see below), whose sum is σ = 37063680. Its totient is φ = 4667904.

The previous prime is 13616959. The next prime is 13616987. The reversal of 13616960 is 6961631.

13616960 is digitally balanced in base 2, because in such base 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800 + ... + 5279.

Almost surely, 2^13616960 is an apocalyptic number.

13616960 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 13616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

13616960 is an abundant number, since it is smaller than the sum of its proper divisors (23446720).

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

13616960 is an equidigital number, since it uses as much as digits as its factorization.

13616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 13616960 is about 3690.1165293253. The cubic root of 13616960 is about 238.7958200848.

The spelling of 13616960 in words is "thirteen million, six hundred sixteen thousand, nine hundred sixty".