6768288 has 72 divisors (see below), whose sum is σ = 19577376. Its totient is φ = 2217600.

The previous prime is 6768283. The next prime is 6768347. The reversal of 6768288 is 8828676.

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

It is not an unprimeable number, because it can be changed into a prime (6768283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20283 + ... + 20613.

It is an arithmetic number, because the mean of its divisors is an integer number (271908).

Almost surely, 2^6768288 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 6768288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788688).

6768288 is an abundant number, since it is smaller than the sum of its proper divisors (12809088).

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

6768288 is a wasteful number, since it uses less digits than its factorization.

6768288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6768288 is about 2601.5933579251. The cubic root of 6768288 is about 189.1586808801.

It can be divided in two parts, 6768 and 288, that added together give a square (7056 = 84²).

The spelling of 6768288 in words is "six million, seven hundred sixty-eight thousand, two hundred eighty-eight".