6856920 has 128 divisors (see below), whose sum is σ = 26150400. Its totient is φ = 1565568.

The previous prime is 6856919. The next prime is 6856931. The reversal of 6856920 is 296586.

6856920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7107 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (204300).

Almost surely, 2^6856920 is an apocalyptic number.

6856920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075200).

6856920 is an abundant number, since it is smaller than the sum of its proper divisors (19293480).

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

6856920 is a wasteful number, since it uses less digits than its factorization.

6856920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6856920 is about 2618.5721299976. The cubic root of 6856920 is about 189.9807921488.

It can be divided in two parts, 6856 and 920, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6856920 in words is "six million, eight hundred fifty-six thousand, nine hundred twenty".