9238560 has 96 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2331648.

The previous prime is 9238553. The next prime is 9238561. The reversal of 9238560 is 658329.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9238561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8614 + ... + 9626.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 2^9238560 is an apocalyptic number.

It is a pronic number, being equal to 3039×3040.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

9238560 is an abundant number, since it is smaller than the sum of its proper divisors (21424800).

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

9238560 is a wasteful number, since it uses less digits than its factorization.

9238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9238560 is about 3039.4999588748. The cubic root of 9238560 is about 209.8302483072.

The spelling of 9238560 in words is "nine million, two hundred thirty-eight thousand, five hundred sixty".