3004560 has 160 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 732672.

The previous prime is 3004553. The next prime is 3004583. The reversal of 3004560 is 654003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28027 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 2^3004560 is an apocalyptic number.

3004560 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 3004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3004560 is an abundant number, since it is smaller than the sum of its proper divisors (8244720).

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

3004560 is a wasteful number, since it uses less digits than its factorization.

3004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3004560 is about 1733.3666663462. The cubic root of 3004560 is about 144.2979940161.

Adding to 3004560 its reverse (654003), we get a palindrome (3658563).

The spelling of 3004560 in words is "three million, four thousand, five hundred sixty".