6886656 has 162 divisors, whose sum is σ = 23476362. Its totient is φ = 1935360.

The previous prime is 6886643. The next prime is 6886673. The reversal of 6886656 is 6566886.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 2822400 = 2016^2 + 1680^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 112866 + ... + 112926.

Almost surely, 2^6886656 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 6886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738181).

6886656 is an abundant number, since it is smaller than the sum of its proper divisors (16589706).

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

6886656 is a wasteful number, since it uses less digits than its factorization.

6886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6886656 is about 2624.2438911046. The cubic root of 6886656 is about 190.2550222778.

Subtracting from 6886656 its product of digits (414720), we obtain a square (6471936 = 2544²).

The spelling of 6886656 in words is "six million, eight hundred eighty-six thousand, six hundred fifty-six".