6768008 has 32 divisors (see below), whose sum is σ = 13910400. Its totient is φ = 3067968.

The previous prime is 6768001. The next prime is 6768029. The reversal of 6768008 is 8008676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768001) 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, 5585 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (434700).

Almost surely, 2^6768008 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 6768008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955200).

6768008 is an abundant number, since it is smaller than the sum of its proper divisors (7142392).

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

6768008 is a wasteful number, since it uses less digits than its factorization.

6768008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6768008 is about 2601.5395441930. The cubic root of 6768008 is about 189.1560723839.

The spelling of 6768008 in words is "six million, seven hundred sixty-eight thousand, eight".