9000320 has 128 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 3010560.

The previous prime is 9000317. The next prime is 9000331. The reversal of 9000320 is 230009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 9000295 and 9000304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219500 + ... + 219540.

Almost surely, 2^9000320 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 9000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

9000320 is an abundant number, since it is smaller than the sum of its proper divisors (16703680).

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

9000320 is an equidigital number, since it uses as much as digits as its factorization.

9000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 9000320 is about 3000.0533328593. The cubic root of 9000320 is about 208.0108475605.

Adding to 9000320 its reverse (230009), we get a palindrome (9230329).

The spelling of 9000320 in words is "nine million, three hundred twenty", and thus it is an aban number.