16688 has 20 divisors (see below), whose sum is σ = 37200. Its totient is φ = 7104.

The previous prime is 16673. The next prime is 16691. The reversal of 16688 is 88661.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16688.

It is an unprimeable number.

16688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2¹⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600).

16688 is an abundant number, since it is smaller than the sum of its proper divisors (20512).

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

16688 is a wasteful number, since it uses less digits than its factorization.

16688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 16688 is about 129.1820420956. The cubic root of 16688 is about 25.5545417227.

The spelling of 16688 in words is "sixteen thousand, six hundred eighty-eight".