9006320 has 40 divisors (see below), whose sum is σ = 21162336. Its totient is φ = 3564288.

The previous prime is 9006313. The next prime is 9006359. The reversal of 9006320 is 236009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9006320² = 162227599884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 9006292 and 9006301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7694 + ... + 8786.

Almost surely, 2^9006320 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 9006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581168).

9006320 is an abundant number, since it is smaller than the sum of its proper divisors (12156016).

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

9006320 is a wasteful number, since it uses less digits than its factorization.

9006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 9006320 is about 3001.0531484797. The cubic root of 9006320 is about 208.0570602822.

The spelling of 9006320 in words is "nine million, six thousand, three hundred twenty".