984566016 has 648 divisors, whose sum is σ = 3816802080. Its totient is φ = 250822656.

The previous prime is 984565993. The next prime is 984566021. The reversal of 984566016 is 610665489.

984566016 is a `hidden beast` number, since 9 + 84 + 566 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×984566016² = 1938740479724224512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51819255 + ... + 51819273.

Almost surely, 2^984566016 is an apocalyptic number.

984566016 is a gapful number since it is divisible by the number (96) 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 984566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908401040).

984566016 is an abundant number, since it is smaller than the sum of its proper divisors (2832236064).

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

984566016 is a wasteful number, since it uses less digits than its factorization.

984566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 984566016 is about 31377.7949512071. The cubic root of 984566016 is about 994.8286418204.

The spelling of 984566016 in words is "nine hundred eighty-four million, five hundred sixty-six thousand, sixteen".