13688680 has 32 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5237056.

The previous prime is 13688677. The next prime is 13688687. The reversal of 13688680 is 8688631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13688687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6520 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^13688680 is an apocalyptic number.

13688680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13688680 is an abundant number, since it is smaller than the sum of its proper divisors (18452120).

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

13688680 is a wasteful number, since it uses less digits than its factorization.

13688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 13688680 is about 3699.8216173216. The cubic root of 13688680 is about 239.2143289590.

The spelling of 13688680 in words is "thirteen million, six hundred eighty-eight thousand, six hundred eighty".