13666680 has 48 divisors (see below), whose sum is σ = 44417880. Its totient is φ = 3644352.

The previous prime is 13666673. The next prime is 13666687. The reversal of 13666680 is 8666631.

It is an interprime number because it is at equal distance from previous prime (13666673) and next prime (13666687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13666687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18622 + ... + 19341.

Almost surely, 2^13666680 is an apocalyptic number.

13666680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13666680 is an abundant number, since it is smaller than the sum of its proper divisors (30751200).

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

13666680 is a wasteful number, since it uses less digits than its factorization.

13666680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37980 (or 37973 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 13666680 is about 3696.8473054753. The cubic root of 13666680 is about 239.0861077545.

The spelling of 13666680 in words is "thirteen million, six hundred sixty-six thousand, six hundred eighty".