16808 has 16 divisors (see below), whose sum is σ = 34560. Its totient is φ = 7600.

The previous prime is 16787. The next prime is 16811. The reversal of 16808 is 80861.

16808 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 7⁵+1.

It is a nialpdrome in base 12.

It is an unprimeable number.

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, 8 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

16808 is an abundant number, since it is smaller than the sum of its proper divisors (17752).

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 (17280).

16808 is a wasteful number, since it uses less digits than its factorization.

16808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 16808 is about 129.6456709651. The cubic root of 16808 is about 25.6156479853.

The spelling of 16808 in words is "sixteen thousand, eight hundred eight".