9288120 has 128 divisors (see below), whose sum is σ = 30715200. Its totient is φ = 2236416.

The previous prime is 9288089. The next prime is 9288121. The reversal of 9288120 is 218829.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9288121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59082 + ... + 59238.

Almost surely, 2^9288120 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 9288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357600).

9288120 is an abundant number, since it is smaller than the sum of its proper divisors (21427080).

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

9288120 is a wasteful number, since it uses less digits than its factorization.

9288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 9288120 is about 3047.6417112253. The cubic root of 9288120 is about 210.2047888901.

The spelling of 9288120 in words is "nine million, two hundred eighty-eight thousand, one hundred twenty".