9738560 has 56 divisors (see below), whose sum is σ = 24984456. Its totient is φ = 3594240.

The previous prime is 9738551. The next prime is 9738571. The reversal of 9738560 is 658379.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 9339136 = 632^2 + 3056^2 .

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, 2990 + ... + 5330.

It is an arithmetic number, because the mean of its divisors is an integer number (446151).

Almost surely, 2^9738560 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 9738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492228).

9738560 is an abundant number, since it is smaller than the sum of its proper divisors (15245896).

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

9738560 is a wasteful number, since it uses less digits than its factorization.

9738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 9738560 is about 3120.6665954568. Note that the first 3 decimals coincide. The cubic root of 9738560 is about 213.5493471704.

The spelling of 9738560 in words is "nine million, seven hundred thirty-eight thousand, five hundred sixty".