13186680 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3174912.

The previous prime is 13186673. The next prime is 13186697. The reversal of 13186680 is 8668131.

13186680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

13186680 is a nontrivial binomial coefficient, being equal to C(5136, 2).

It is a congruent number.

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, 123187 + ... + 123293.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^13186680 is an apocalyptic number.

13186680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13186680 is the 5135-th triangular number and also the 2568-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13186680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13186680 is an abundant number, since it is smaller than the sum of its proper divisors (30358920).

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

13186680 is a wasteful number, since it uses less digits than its factorization.

13186680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13186680 is about 3631.3468575723. The cubic root of 13186680 is about 236.2536294619.

The spelling of 13186680 in words is "thirteen million, one hundred eighty-six thousand, six hundred eighty".