3112960 has 64 divisors (see below), whose sum is σ = 7864200. Its totient is φ = 1179648.

The previous prime is 3112943. The next prime is 3112973. The reversal of 3112960 is 692113.

3112960 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163831 + ... + 163849.

Almost surely, 2^3112960 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 3112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932100).

3112960 is an abundant number, since it is smaller than the sum of its proper divisors (4751240).

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

3112960 is an frugal number, since it uses more digits than its factorization.

3112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 3112960 is about 1764.3582402675. The cubic root of 3112960 is about 146.0128843324.

The spelling of 3112960 in words is "three million, one hundred twelve thousand, nine hundred sixty".