6806 has 8 divisors (see below), whose sum is σ = 10584. Its totient is φ = 3280.

The previous prime is 6803. The next prime is 6823. The reversal of 6806 is 6086.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2⁶⁸⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 82×83.

6806 is a deficient number, since it is larger than the sum of its proper divisors (3778).

6806 is a wasteful number, since it uses less digits than its factorization.

6806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6806 is about 82.4984848346. The cubic root of 6806 is about 18.9509352717.

Subtracting from 6806 its sum of digits (20), we obtain a triangular number (6786 = T₁₁₆).

It can be divided in two parts, 680 and 6, that added together give a palindrome (686).

The spelling of 6806 in words is "six thousand, eight hundred six".