9305920 has 56 divisors (see below), whose sum is σ = 23874984. Its totient is φ = 3434496.

The previous prime is 9305887. The next prime is 9305939. The reversal of 9305920 is 295039.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 8573184 = 856^2 + 2928^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3042 + ... + 5278.

It is an arithmetic number, because the mean of its divisors is an integer number (426339).

Almost surely, 2^9305920 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 9305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937492).

9305920 is an abundant number, since it is smaller than the sum of its proper divisors (14569064).

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

9305920 is a wasteful number, since it uses less digits than its factorization.

9305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 9305920 is about 3050.5606042169. The cubic root of 9305920 is about 210.3389838829.

The spelling of 9305920 in words is "nine million, three hundred five thousand, nine hundred twenty".