6842688 has 56 divisors (see below), whose sum is σ = 18300192. Its totient is φ = 2256384.

The previous prime is 6842681. The next prime is 6842701. The reversal of 6842688 is 8862486.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30031 + ... + 30257.

Almost surely, 2^6842688 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 6842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150096).

6842688 is an abundant number, since it is smaller than the sum of its proper divisors (11457504).

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

6842688 is a wasteful number, since it uses less digits than its factorization.

6842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 6842688 is about 2615.8532068906. The cubic root of 6842688 is about 189.8492617902.

The spelling of 6842688 in words is "six million, eight hundred forty-two thousand, six hundred eighty-eight".