9282320 has 40 divisors (see below), whose sum is σ = 22331160. Its totient is φ = 3584000.

The previous prime is 9282319. The next prime is 9282337. The reversal of 9282320 is 232829.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 9265936 = 128^2 + 3044^2 .

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

It is a super-2 number, since 2×9282320² = 172322929164800, which contains 22 as substring.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 9282320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (558279).

Almost surely, 2^9282320 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 9282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165580).

9282320 is an abundant number, since it is smaller than the sum of its proper divisors (13048840).

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

9282320 is a wasteful number, since it uses less digits than its factorization.

9282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 9282320 is about 3046.6900072045. The cubic root of 9282320 is about 210.1610254002.

The spelling of 9282320 in words is "nine million, two hundred eighty-two thousand, three hundred twenty".