13666380 has 96 divisors (see below), whose sum is σ = 47115264. Its totient is φ = 2882304.

The previous prime is 13666369. The next prime is 13666391. The reversal of 13666380 is 8366631.

It is an interprime number because it is at equal distance from previous prime (13666369) and next prime (13666391).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209 + ... + 6711.

It is an arithmetic number, because the mean of its divisors is an integer number (490784).

Almost surely, 2^13666380 is an apocalyptic number.

13666380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557632).

13666380 is an abundant number, since it is smaller than the sum of its proper divisors (33448884).

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

13666380 is a wasteful number, since it uses less digits than its factorization.

13666380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13666380 is about 3696.8067301389. The cubic root of 13666380 is about 239.0843583329.

The spelling of 13666380 in words is "thirteen million, six hundred sixty-six thousand, three hundred eighty".