16788 has 12 divisors (see below), whose sum is σ = 39200. Its totient is φ = 5592.

The previous prime is 16787. The next prime is 16811. The reversal of 16788 is 88761.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688 + ... + 711.

2¹⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

16788 is an abundant number, since it is smaller than the sum of its proper divisors (22412).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600).

16788 is a wasteful number, since it uses less digits than its factorization.

16788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 16788 is about 129.5685146940. The cubic root of 16788 is about 25.6054838512.

The spelling of 16788 in words is "sixteen thousand, seven hundred eighty-eight".