9825280 has 88 divisors (see below), whose sum is σ = 25055280. Its totient is φ = 3686400.

The previous prime is 9825253. The next prime is 9825311. The reversal of 9825280 is 825289.

It is a super-2 number, since 2×9825280² = 193072254156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97230 + ... + 97330.

Almost surely, 2^9825280 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 9825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527640).

9825280 is an abundant number, since it is smaller than the sum of its proper divisors (15230000).

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

9825280 is a wasteful number, since it uses less digits than its factorization.

9825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 9825280 is about 3134.5302678392. The cubic root of 9825280 is about 214.1813468483.

The spelling of 9825280 in words is "nine million, eight hundred twenty-five thousand, two hundred eighty".