9004560 has 80 divisors (see below), whose sum is σ = 29569536. Its totient is φ = 2258944.

The previous prime is 9004531. The next prime is 9004561. The reversal of 9004560 is 654009.

It is a tau number, because it is divible by the number of its divisors (80).

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 9004560.

It is not an unprimeable number, because it can be changed into a prime (9004561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 5183.

Almost surely, 2^9004560 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 9004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784768).

9004560 is an abundant number, since it is smaller than the sum of its proper divisors (20564976).

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

9004560 is a wasteful number, since it uses less digits than its factorization.

9004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 9004560 is about 3000.7599037577. The cubic root of 9004560 is about 208.0435066783.

Adding to 9004560 its reverse (654009), we get a palindrome (9658569).

It can be divided in two parts, 900 and 4560, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 9004560 in words is "nine million, four thousand, five hundred sixty".