6806856 has 64 divisors (see below), whose sum is σ = 20090880. Its totient is φ = 1880640.

The previous prime is 6806837. The next prime is 6806893. The reversal of 6806856 is 6586086.

6806856 = T₄₃₃ + T₄₃₄ + ... + T₄₉₅.

6806856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (313920).

Almost surely, 2^6806856 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 6806856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045440).

6806856 is an abundant number, since it is smaller than the sum of its proper divisors (13284024).

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

6806856 is a wasteful number, since it uses less digits than its factorization.

6806856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6806856 is about 2608.9952088879. The cubic root of 6806856 is about 189.5172973353.

The spelling of 6806856 in words is "six million, eight hundred six thousand, eight hundred fifty-six".