13668384 has 48 divisors (see below), whose sum is σ = 36130752. Its totient is φ = 4524288.

The previous prime is 13668379. The next prime is 13668407. The reversal of 13668384 is 48386631.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 16197 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (752724).

Almost surely, 2^13668384 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 13668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065376).

13668384 is an abundant number, since it is smaller than the sum of its proper divisors (22462368).

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

13668384 is a wasteful number, since it uses less digits than its factorization.

13668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13668384 is about 3697.0777649381. The cubic root of 13668384 is about 239.0960439837.

The spelling of 13668384 in words is "thirteen million, six hundred sixty-eight thousand, three hundred eighty-four".