9984016 has 40 divisors (see below), whose sum is σ = 22359680. Its totient is φ = 4230144.

The previous prime is 9984011. The next prime is 9984031. The reversal of 9984016 is 6104899.

9984016 = T₃₆₅ + T₃₆₆ + ... + T₄₇₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10405 + ... + 11323.

It is an arithmetic number, because the mean of its divisors is an integer number (558992).

Almost surely, 2^9984016 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 9984016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179840).

9984016 is an abundant number, since it is smaller than the sum of its proper divisors (12375664).

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

9984016 is a wasteful number, since it uses less digits than its factorization.

9984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 9984016 is about 3159.7493571484. The cubic root of 9984016 is about 215.3286195093.

It can be divided in two parts, 99840 and 16, that added together give a square (99856 = 316²).

The spelling of 9984016 in words is "nine million, nine hundred eighty-four thousand, sixteen".