6768660 has 48 divisors (see below), whose sum is σ = 19164096. Its totient is φ = 1784832.

The previous prime is 6768659. The next prime is 6768661. The reversal of 6768660 is 668676.

6768660 is digitally balanced in base 5, 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 (6768659) and next prime (6768661).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768661) 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, 5239 + ... + 6401.

It is an arithmetic number, because the mean of its divisors is an integer number (399252).

Almost surely, 2^6768660 is an apocalyptic number.

6768660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6768660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582048).

6768660 is an abundant number, since it is smaller than the sum of its proper divisors (12395436).

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

6768660 is a wasteful number, since it uses less digits than its factorization.

6768660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6768660 is about 2601.6648515902. The cubic root of 6768660 is about 189.1621463424.

The spelling of 6768660 in words is "six million, seven hundred sixty-eight thousand, six hundred sixty".