6856884 has 36 divisors (see below), whose sum is σ = 17559360. Its totient is φ = 2255760.

The previous prime is 6856873. The next prime is 6856897. The reversal of 6856884 is 4886586.

6856884 is a `hidden beast` number, since 6 + 8 + 568 + 84 = 666.

6856884 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (487760).

Almost surely, 2^6856884 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 6856884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779680).

6856884 is an abundant number, since it is smaller than the sum of its proper divisors (10702476).

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

6856884 is a wasteful number, since it uses less digits than its factorization.

6856884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 6856884 is about 2618.5652560133. The cubic root of 6856884 is about 189.9804596710.

It can be divided in two parts, 685 and 6884, that added together give a square (7569 = 87²).

The spelling of 6856884 in words is "six million, eight hundred fifty-six thousand, eight hundred eighty-four".