13667680 has 48 divisors (see below), whose sum is σ = 34779024. Its totient is φ = 5045760.

The previous prime is 13667659. The next prime is 13667699. The reversal of 13667680 is 8676631.

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, 1206 + ... + 5365.

It is an arithmetic number, because the mean of its divisors is an integer number (724563).

Almost surely, 2^13667680 is an apocalyptic number.

13667680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13667680 is an abundant number, since it is smaller than the sum of its proper divisors (21111344).

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

13667680 is a wasteful number, since it uses less digits than its factorization.

13667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 13667680 is about 3696.9825533805. The cubic root of 13667680 is about 239.0919389751.

The spelling of 13667680 in words is "thirteen million, six hundred sixty-seven thousand, six hundred eighty".