6818688 has 64 divisors (see below), whose sum is σ = 20134800. Its totient is φ = 2271744.

The previous prime is 6818677. The next prime is 6818719. The reversal of 6818688 is 8868186.

It is a happy number.

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

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

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 7 ways as a sum of consecutive naturals, for example, 2470 + ... + 4442.

Almost surely, 2^6818688 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 6818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067400).

6818688 is an abundant number, since it is smaller than the sum of its proper divisors (13316112).

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

6818688 is a wasteful number, since it uses less digits than its factorization.

6818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1978 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 6818688 is about 2611.2617639754. The cubic root of 6818688 is about 189.6270430902.

The spelling of 6818688 in words is "six million, eight hundred eighteen thousand, six hundred eighty-eight".