9509120 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 3244032.

The previous prime is 9509117. The next prime is 9509131. The reversal of 9509120 is 219059.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9509120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413429 + ... + 413451.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 2^9509120 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 9509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

9509120 is an abundant number, since it is smaller than the sum of its proper divisors (16981120).

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

9509120 is a wasteful number, since it uses less digits than its factorization.

9509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 9509120 is about 3083.6861059453. The cubic root of 9509120 is about 211.8589307142.

The spelling of 9509120 in words is "nine million, five hundred nine thousand, one hundred twenty".