13616664 has 64 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4368000.

The previous prime is 13616641. The next prime is 13616671. The reversal of 13616664 is 46661631.

13616664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

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, 103879 + ... + 104009.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^13616664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13616664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13616664 is an abundant number, since it is smaller than the sum of its proper divisors (21738216).

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

13616664 is a wasteful number, since it uses less digits than its factorization.

13616664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13616664 is about 3690.0764219729. The cubic root of 13616664 is about 238.7940897897.

The spelling of 13616664 in words is "thirteen million, six hundred sixteen thousand, six hundred sixty-four".