3120768 has 160 divisors (see below), whose sum is σ = 10860960. Its totient is φ = 870912.

The previous prime is 3120763. The next prime is 3120791. The reversal of 3120768 is 8670213.

3120768 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120763) 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 19 ways as a sum of consecutive naturals, for example, 72555 + ... + 72597.

It is an arithmetic number, because the mean of its divisors is an integer number (67881).

Almost surely, 2^3120768 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 3120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430480).

3120768 is an abundant number, since it is smaller than the sum of its proper divisors (7740192).

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

3120768 is an equidigital number, since it uses as much as digits as its factorization.

3120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3120768 is about 1766.5695570795. The cubic root of 3120768 is about 146.1348600666.

The spelling of 3120768 in words is "three million, one hundred twenty thousand, seven hundred sixty-eight".