6820 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 2400.

The previous prime is 6803. The next prime is 6823. The reversal of 6820 is 286.

It is a junction number, because it is equal to n+sod(n) for n = 6794 and 6803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁶⁸²⁰ 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 6820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6820 is an abundant number, since it is smaller than the sum of its proper divisors (9308).

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

6820 is a wasteful number, since it uses less digits than its factorization.

6820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6820 is about 82.5832912883. The cubic root of 6820 is about 18.9639204507.

Subtracting from 6820 its product of nonzero digits (96), we obtain a square (6724 = 82²).

It can be divided in two parts, 68 and 20, that added together give a palindrome (88).

The spelling of 6820 in words is "six thousand, eight hundred twenty".