3072960 has 168 divisors, whose sum is σ = 11649456. Its totient is φ = 737280.

The previous prime is 3072959. The next prime is 3072977. The reversal of 3072960 is 692703.

3072960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31632 + ... + 31728.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

Almost surely, 2^3072960 is an apocalyptic number.

3072960 is a gapful number since it is divisible by the number (30) 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 3072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3072960 is an abundant number, since it is smaller than the sum of its proper divisors (8576496).

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

3072960 is a wasteful number, since it uses less digits than its factorization.

3072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3072960 is about 1752.9860239032. The cubic root of 3072960 is about 145.3847885211.

The spelling of 3072960 in words is "three million, seventy-two thousand, nine hundred sixty".