6886688 has 48 divisors (see below), whose sum is σ = 14447160. Its totient is φ = 3225600.

The previous prime is 6886679. The next prime is 6886727. The reversal of 6886688 is 8866886.

It can be written as a sum of positive squares in 4 ways, for example, as 1993744 + 4892944 = 1412^2 + 2212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37958 + ... + 38138.

Almost surely, 2^6886688 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 6886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223580).

6886688 is an abundant number, since it is smaller than the sum of its proper divisors (7560472).

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

6886688 is a wasteful number, since it uses less digits than its factorization.

6886688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 884736, while the sum is 50.

The square root of 6886688 is about 2624.2499880918. The cubic root of 6886688 is about 190.2553169613.

The spelling of 6886688 in words is "six million, eight hundred eighty-six thousand, six hundred eighty-eight".