3006960 has 160 divisors (see below), whose sum is σ = 10927872. Its totient is φ = 675840.

The previous prime is 3006937. The next prime is 3006967. The reversal of 3006960 is 696003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3006960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44847 + ... + 44913.

Almost surely, 2^3006960 is an apocalyptic number.

3006960 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 3006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463936).

3006960 is an abundant number, since it is smaller than the sum of its proper divisors (7920912).

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

3006960 is a wasteful number, since it uses less digits than its factorization.

3006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3006960 is about 1734.0588225317. The cubic root of 3006960 is about 144.3364048556.

It can be divided in two parts, 300 and 6960, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 3006960 in words is "three million, six thousand, nine hundred sixty".