3066768 has 80 divisors (see below), whose sum is σ = 9126400. Its totient is φ = 984960.

The previous prime is 3066743. The next prime is 3066769. The reversal of 3066768 is 8676603.

It is a happy number.

3066768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3066769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13278 + ... + 13506.

It is an arithmetic number, because the mean of its divisors is an integer number (114080).

Almost surely, 2^3066768 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 3066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563200).

3066768 is an abundant number, since it is smaller than the sum of its proper divisors (6059632).

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

3066768 is a wasteful number, since it uses less digits than its factorization.

3066768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3066768 is about 1751.2190040084. The cubic root of 3066768 is about 145.2870729703.

The spelling of 3066768 in words is "three million, sixty-six thousand, seven hundred sixty-eight".