13628664 has 72 divisors (see below), whose sum is σ = 42948360. Its totient is φ = 3892896.

The previous prime is 13628653. The next prime is 13628707. The reversal of 13628664 is 46682631.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1597 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 2^13628664 is an apocalyptic number.

13628664 is a gapful number since it is divisible by the number (14) 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 13628664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474180).

13628664 is an abundant number, since it is smaller than the sum of its proper divisors (29319696).

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

13628664 is a wasteful number, since it uses less digits than its factorization.

13628664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3875 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13628664 is about 3691.7020464821. The cubic root of 13628664 is about 238.8642167978.

The spelling of 13628664 in words is "thirteen million, six hundred twenty-eight thousand, six hundred sixty-four".