13782664 has 16 divisors (see below), whose sum is σ = 29534400. Its totient is φ = 5906832.

The previous prime is 13782647. The next prime is 13782667. The reversal of 13782664 is 46628731.

It is not an unprimeable number, because it can be changed into a prime (13782667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123004 + ... + 123115.

It is an arithmetic number, because the mean of its divisors is an integer number (1845900).

Almost surely, 2^13782664 is an apocalyptic number.

13782664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13782664 is an abundant number, since it is smaller than the sum of its proper divisors (15751736).

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

13782664 is a wasteful number, since it uses less digits than its factorization.

13782664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246132 (or 246128 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 13782664 is about 3712.5010437709. The cubic root of 13782664 is about 239.7605482117.

The spelling of 13782664 in words is "thirteen million, seven hundred eighty-two thousand, six hundred sixty-four".