9845280 has 192 divisors, whose sum is σ = 35925120. Its totient is φ = 2515968.

The previous prime is 9845273. The next prime is 9845299. The reversal of 9845280 is 825489.

It is a super-3 number, since 3×9845280³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185734 + ... + 185786.

It is an arithmetic number, because the mean of its divisors is an integer number (187110).

Almost surely, 2^9845280 is an apocalyptic number.

9845280 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 9845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

9845280 is an abundant number, since it is smaller than the sum of its proper divisors (26079840).

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

9845280 is a wasteful number, since it uses less digits than its factorization.

9845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9845280 is about 3137.7189166654. The cubic root of 9845280 is about 214.3265750652.

The spelling of 9845280 in words is "nine million, eight hundred forty-five thousand, two hundred eighty".