6846 has 16 divisors (see below), whose sum is σ = 15744. Its totient is φ = 1944.

The previous prime is 6841. The next prime is 6857. The reversal of 6846 is 6486.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6841) by changing a digit.

6846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (984).

2⁶⁸⁴⁶ is an apocalyptic number.

6846 is an abundant number, since it is smaller than the sum of its proper divisors (8898).

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 (7872).

6846 is a wasteful number, since it uses less digits than its factorization.

6846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its digits is 1152, while the sum is 24.

The square root of 6846 is about 82.7405583738. The cubic root of 6846 is about 18.9879887149.

The spelling of 6846 in words is "six thousand, eight hundred forty-six".