6856992 has 72 divisors (see below), whose sum is σ = 20196540. Its totient is φ = 2204160.

The previous prime is 6856973. The next prime is 6856999. The reversal of 6856992 is 2996586.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 76176 = 2604^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6856999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7942 + ... + 8762.

Almost surely, 2^6856992 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 6856992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098270).

6856992 is an abundant number, since it is smaller than the sum of its proper divisors (13339548).

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

6856992 is a wasteful number, since it uses less digits than its factorization.

6856992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 6856992 is about 2618.5858779120. The cubic root of 6856992 is about 189.9814571008.

The spelling of 6856992 in words is "six million, eight hundred fifty-six thousand, nine hundred ninety-two".