9982960 has 80 divisors (see below), whose sum is σ = 25935840. Its totient is φ = 3548160.

The previous prime is 9982957. The next prime is 9982963. The reversal of 9982960 is 692899.

It is an interprime number because it is at equal distance from previous prime (9982957) and next prime (9982963).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29995 + ... + 30325.

It is an arithmetic number, because the mean of its divisors is an integer number (324198).

Almost surely, 2^9982960 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 9982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967920).

9982960 is an abundant number, since it is smaller than the sum of its proper divisors (15952880).

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

9982960 is a wasteful number, since it uses less digits than its factorization.

9982960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9982960 is about 3159.5822508680. The cubic root of 9982960 is about 215.3210275397.

The spelling of 9982960 in words is "nine million, nine hundred eighty-two thousand, nine hundred sixty".