6838656 has 64 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 2071040.

The previous prime is 6838633. The next prime is 6838681. The reversal of 6838656 is 6568386.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 3415 + ... + 5033.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^6838656 is an apocalyptic number.

6838656 is a gapful number since it is divisible by the number (66) 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 6838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

6838656 is an abundant number, since it is smaller than the sum of its proper divisors (12990144).

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

6838656 is a wasteful number, since it uses less digits than its factorization.

6838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1635 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 6838656 is about 2615.0824078793. The cubic root of 6838656 is about 189.8119654031.

It can be divided in two parts, 683 and 8656, that added together give a palindrome (9339).

The spelling of 6838656 in words is "six million, eight hundred thirty-eight thousand, six hundred fifty-six".