9285120 has 240 divisors, whose sum is σ = 35747712. Its totient is φ = 2211840.

The previous prime is 9285049. The next prime is 9285161. The reversal of 9285120 is 215829.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299505 + ... + 299535.

Almost surely, 2^9285120 is an apocalyptic number.

9285120 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 9285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

9285120 is an abundant number, since it is smaller than the sum of its proper divisors (26462592).

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

9285120 is a wasteful number, since it uses less digits than its factorization.

9285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9285120 is about 3047.1494876359. The cubic root of 9285120 is about 210.1821548776.

The spelling of 9285120 in words is "nine million, two hundred eighty-five thousand, one hundred twenty".