9882640 has 80 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3660800.

The previous prime is 9882619. The next prime is 9882659. The reversal of 9882640 is 462889.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9882640.

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, 75375 + ... + 75505.

Almost surely, 2^9882640 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 9882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

9882640 is an abundant number, since it is smaller than the sum of its proper divisors (14865776).

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

9882640 is a wasteful number, since it uses less digits than its factorization.

9882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9882640 is about 3143.6666489945. Note that the first 4 decimals coincide. The cubic root of 9882640 is about 214.5973353941.

The spelling of 9882640 in words is "nine million, eight hundred eighty-two thousand, six hundred forty".