13666800 has 120 divisors (see below), whose sum is σ = 50064256. Its totient is φ = 3121920.

The previous prime is 13666787. The next prime is 13666813. The reversal of 13666800 is 866631.

It is an interprime number because it is at equal distance from previous prime (13666787) and next prime (13666813).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587 + ... + 9213.

Almost surely, 2^13666800 is an apocalyptic number.

13666800 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 13666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032128).

13666800 is an abundant number, since it is smaller than the sum of its proper divisors (36397456).

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

13666800 is a wasteful number, since it uses less digits than its factorization.

13666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13666800 is about 3696.8635354852. The cubic root of 13666800 is about 239.0868075160.

The spelling of 13666800 in words is "thirteen million, six hundred sixty-six thousand, eight hundred".