9982080 has 96 divisors (see below), whose sum is σ = 34489260. Its totient is φ = 2660352.

The previous prime is 9982067. The next prime is 9982097. The reversal of 9982080 is 802899.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 97344 = 3144^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9982080² = 199283842252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4894 + ... + 6626.

Almost surely, 2^9982080 is an apocalyptic number.

9982080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244630).

9982080 is an abundant number, since it is smaller than the sum of its proper divisors (24507180).

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

9982080 is a wasteful number, since it uses less digits than its factorization.

9982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9982080 is about 3159.4429888827. The cubic root of 9982080 is about 215.3147004893.

The spelling of 9982080 in words is "nine million, nine hundred eighty-two thousand, eighty".