9838560 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2585088.

The previous prime is 9838553. The next prime is 9838573. The reversal of 9838560 is 658389.

9838560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49341 + ... + 49539.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^9838560 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 9838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

9838560 is an abundant number, since it is smaller than the sum of its proper divisors (21611040).

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

9838560 is a wasteful number, since it uses less digits than its factorization.

9838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 9838560 is about 3136.6478922570. The cubic root of 9838560 is about 214.2778003426.

The spelling of 9838560 in words is "nine million, eight hundred thirty-eight thousand, five hundred sixty".