3024960 has 112 divisors (see below), whose sum is σ = 10094976. Its totient is φ = 765952.

The previous prime is 3024953. The next prime is 3024977. The reversal of 3024960 is 694203.

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 3024960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22012 + ... + 22148.

Almost surely, 2^3024960 is an apocalyptic number.

3024960 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 3024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047488).

3024960 is an abundant number, since it is smaller than the sum of its proper divisors (7070016).

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

3024960 is a wasteful number, since it uses less digits than its factorization.

3024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3024960 is about 1739.2412138631. The cubic root of 3024960 is about 144.6238367221.

The spelling of 3024960 in words is "three million, twenty-four thousand, nine hundred sixty".