13688 has 16 divisors (see below), whose sum is σ = 27000. Its totient is φ = 6496.

The previous prime is 13687. The next prime is 13691. The reversal of 13688 is 88631.

It is a Cunningham number, because it is equal to 117²-1.

It is a super-2 number, since 2×13688² = 374722688, which contains 22 as substring.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 261.

2¹³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

13688 is a deficient number, since it is larger than the sum of its proper divisors (13312).

13688 is a wasteful number, since it uses less digits than its factorization.

13688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 13688 is about 116.9957264177. The cubic root of 13688 is about 23.9210367816.

The spelling of 13688 in words is "thirteen thousand, six hundred eighty-eight".