13635664 has 40 divisors (see below), whose sum is σ = 30388928. Its totient is φ = 5806080.

The previous prime is 13635641. The next prime is 13635689. The reversal of 13635664 is 46653631.

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, 23344 + ... + 23920.

Almost surely, 2^13635664 is an apocalyptic number.

13635664 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 13635664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194464).

13635664 is an abundant number, since it is smaller than the sum of its proper divisors (16753264).

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

13635664 is a wasteful number, since it uses less digits than its factorization.

13635664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 13635664 is about 3692.6499969534. The cubic root of 13635664 is about 238.9051052109.

The spelling of 13635664 in words is "thirteen million, six hundred thirty-five thousand, six hundred sixty-four".