9738640 has 80 divisors (see below), whose sum is σ = 24552000. Its totient is φ = 3580416.

The previous prime is 9738601. The next prime is 9738649. The reversal of 9738640 is 468379.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9738640² = 189682218099200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9738640.

It is not an unprimeable number, because it can be changed into a prime (9738649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65286 + ... + 65434.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 2^9738640 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 9738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276000).

9738640 is an abundant number, since it is smaller than the sum of its proper divisors (14813360).

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

9738640 is a wasteful number, since it uses less digits than its factorization.

9738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 9738640 is about 3120.6794132048. The cubic root of 9738640 is about 213.5499319215.

The spelling of 9738640 in words is "nine million, seven hundred thirty-eight thousand, six hundred forty".