6856000 has 56 divisors (see below), whose sum is σ = 16998696. Its totient is φ = 2739200.

The previous prime is 6855971. The next prime is 6856009. The reversal of 6856000 is 6586.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 6843456 = 112^2 + 2616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856009) 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, 7572 + ... + 8428.

Almost surely, 2^6856000 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 6856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499348).

6856000 is an abundant number, since it is smaller than the sum of its proper divisors (10142696).

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

6856000 is an equidigital number, since it uses as much as digits as its factorization.

6856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 6856000 is about 2618.3964558485. The cubic root of 6856000 is about 189.9722951294.

The spelling of 6856000 in words is "six million, eight hundred fifty-six thousand".