9004320 has 216 divisors, whose sum is σ = 34171956. Its totient is φ = 2156544.

The previous prime is 9004319. The next prime is 9004327. The reversal of 9004320 is 234009.

It can be written as a sum of positive squares in 6 ways, for example, as 2471184 + 6533136 = 1572^2 + 2556^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9004293 and 9004302.

It is not an unprimeable number, because it can be changed into a prime (9004327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243342 + ... + 243378.

Almost surely, 2^9004320 is an apocalyptic number.

9004320 is a gapful number since it is divisible by the number (90) 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 9004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085978).

9004320 is an abundant number, since it is smaller than the sum of its proper divisors (25167636).

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

9004320 is a wasteful number, since it uses less digits than its factorization.

9004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 9004320 is about 3000.7199136207. The cubic root of 9004320 is about 208.0416583228.

Adding to 9004320 its reverse (234009), we get a palindrome (9238329).

The spelling of 9004320 in words is "nine million, four thousand, three hundred twenty".