Subtracting from 6816 its reverse (6186), we obtain a triangular number (630 = T35).
It is a tau number, because it is divible by the number of its divisors (24).
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 14.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6816.
It is an unprimeable number.
6816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
26816 is an apocalyptic number.
6816 is the 48-th octagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6816 is a wasteful number, since it uses less digits than its factorization.
6816 is an odious number, because the sum of its binary digits is odd.
The square root of 6816 is about 82.5590697622. The cubic root of 6816 is about 18.9602122143.
The spelling of 6816 in words is "six thousand, eight hundred sixteen".