6688000 has 144 divisors (see below), whose sum is σ = 19131840. Its totient is φ = 2304000.

The previous prime is 6687983. The next prime is 6688001. The reversal of 6688000 is 8866.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6688000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 351991 + ... + 352009.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

Almost surely, 2^6688000 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 6688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565920).

6688000 is an abundant number, since it is smaller than the sum of its proper divisors (12443840).

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

6688000 is a wasteful number, since it uses less digits than its factorization.

6688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6688000 is about 2586.1167800391. The cubic root of 6688000 is about 188.4077463709.

It can be divided in two parts, 668 and 8000, that added together give a palindrome (8668).

The spelling of 6688000 in words is "six million, six hundred eighty-eight thousand".