6768864 has 72 divisors (see below), whose sum is σ = 20278440. Its totient is φ = 2135808.

The previous prime is 6768859. The next prime is 6768887. The reversal of 6768864 is 4688676.

It is a happy number.

6768864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854 + ... + 6090.

It is an arithmetic number, because the mean of its divisors is an integer number (281645).

Almost surely, 2^6768864 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 6768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139220).

6768864 is an abundant number, since it is smaller than the sum of its proper divisors (13509576).

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

6768864 is a wasteful number, since it uses less digits than its factorization.

6768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1261 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6768864 is about 2601.7040569596. The cubic root of 6768864 is about 189.1640467033.

The spelling of 6768864 in words is "six million, seven hundred sixty-eight thousand, eight hundred sixty-four".