6768888 has 64 divisors (see below), whose sum is σ = 19810560. Its totient is φ = 1886976.

The previous prime is 6768887. The next prime is 6768889. The reversal of 6768888 is 8888676.

6768888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6768887) and next prime (6768889).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6768888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6756 + ... + 7692.

It is an arithmetic number, because the mean of its divisors is an integer number (309540).

Almost surely, 2^6768888 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 6768888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905280).

6768888 is an abundant number, since it is smaller than the sum of its proper divisors (13041672).

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

6768888 is a wasteful number, since it uses less digits than its factorization.

6768888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 6768888 is about 2601.7086693171. The cubic root of 6768888 is about 189.1642702727.

It can be divided in two parts, 67688 and 88, that added together give a palindrome (67776).

The spelling of 6768888 in words is "six million, seven hundred sixty-eight thousand, eight hundred eighty-eight".