13646664 has 32 divisors (see below), whose sum is σ = 37908000. Its totient is φ = 4548816.

The previous prime is 13646651. The next prime is 13646669. The reversal of 13646664 is 46664631.

It is a super-3 number, since 3×13646664³ (a number of 22 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (13646669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31374 + ... + 31805.

It is an arithmetic number, because the mean of its divisors is an integer number (1184625).

Almost surely, 2^13646664 is an apocalyptic number.

It is an amenable number.

13646664 is an abundant number, since it is smaller than the sum of its proper divisors (24261336).

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

13646664 is a wasteful number, since it uses less digits than its factorization.

13646664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63194 (or 63184 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 13646664 is about 3694.1391419382. The cubic root of 13646664 is about 238.9693301681.

The spelling of 13646664 in words is "thirteen million, six hundred forty-six thousand, six hundred sixty-four".