9964640 has 144 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3225600.

The previous prime is 9964639. The next prime is 9964651. The reversal of 9964640 is 464699.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9964594 and 9964603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243020 + ... + 243060.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^9964640 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 9964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

9964640 is an abundant number, since it is smaller than the sum of its proper divisors (18993184).

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

9964640 is a wasteful number, since it uses less digits than its factorization.

9964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9964640 is about 3156.6818021460. The cubic root of 9964640 is about 215.1892330724.

The spelling of 9964640 in words is "nine million, nine hundred sixty-four thousand, six hundred forty".