9789120 has 224 divisors, whose sum is σ = 38039040. Its totient is φ = 2350080.

The previous prime is 9789083. The next prime is 9789121. The reversal of 9789120 is 219879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9789121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94989 + ... + 95091.

Almost surely, 2^9789120 is an apocalyptic number.

9789120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

9789120 is an abundant number, since it is smaller than the sum of its proper divisors (28249920).

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

9789120 is a wasteful number, since it uses less digits than its factorization.

9789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9789120 is about 3128.7569416623. The cubic root of 9789120 is about 213.9182731567.

The spelling of 9789120 in words is "nine million, seven hundred eighty-nine thousand, one hundred twenty".