9242880 has 144 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 2351104.

The previous prime is 9242843. The next prime is 9242887. The reversal of 9242880 is 882429.

It is not an unprimeable number, because it can be changed into a prime (9242887) 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, 111319 + ... + 111401.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 2^9242880 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 9242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

9242880 is an abundant number, since it is smaller than the sum of its proper divisors (21662400).

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

9242880 is a wasteful number, since it uses less digits than its factorization.

9242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 9242880 is about 3040.2105190266. The cubic root of 9242880 is about 209.8629491256.

The spelling of 9242880 in words is "nine million, two hundred forty-two thousand, eight hundred eighty".