9984820 has 48 divisors (see below), whose sum is σ = 21909888. Its totient is φ = 3818880.

The previous prime is 9984811. The next prime is 9984827. The reversal of 9984820 is 284899.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984827) 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, 76155 + ... + 76285.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 2^9984820 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 9984820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954944).

9984820 is an abundant number, since it is smaller than the sum of its proper divisors (11925068).

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

9984820 is a wasteful number, since it uses less digits than its factorization.

9984820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9984820 is about 3159.8765798683. The cubic root of 9984820 is about 215.3343994000.

The spelling of 9984820 in words is "nine million, nine hundred eighty-four thousand, eight hundred twenty".