13816680 has 64 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 3643392.

The previous prime is 13816661. The next prime is 13816681. The reversal of 13816680 is 8661831.

13816680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13816681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11047 + ... + 12233.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 2^13816680 is an apocalyptic number.

13816680 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 13816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

13816680 is an abundant number, since it is smaller than the sum of its proper divisors (28095960).

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

13816680 is a wasteful number, since it uses less digits than its factorization.

13816680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

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

The square root of 13816680 is about 3717.0794987463. The cubic root of 13816680 is about 239.9576314098.

The spelling of 13816680 in words is "thirteen million, eight hundred sixteen thousand, six hundred eighty".