9985760 has 48 divisors (see below), whose sum is σ = 23814000. Its totient is φ = 3956736.

The previous prime is 9985753. The next prime is 9985763. The reversal of 9985760 is 675899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985763) 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 7 ways as a sum of consecutive naturals, for example, 22016 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 2^9985760 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 9985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907000).

9985760 is an abundant number, since it is smaller than the sum of its proper divisors (13828240).

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

9985760 is a wasteful number, since it uses less digits than its factorization.

9985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 9985760 is about 3160.0253163543. The cubic root of 9985760 is about 215.3411565902.

The spelling of 9985760 in words is "nine million, nine hundred eighty-five thousand, seven hundred sixty".