984664512 has 280 divisors, whose sum is σ = 3313125200. Its totient is φ = 286654464.

The previous prime is 984664489. The next prime is 984664529. The reversal of 984664512 is 215466489.

984664512 is a `hidden beast` number, since 98 + 46 + 6 + 4 + 512 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1280064 + ... + 1280832.

It is an arithmetic number, because the mean of its divisors is an integer number (11832590).

Almost surely, 2^984664512 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 984664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656562600).

984664512 is an abundant number, since it is smaller than the sum of its proper divisors (2328460688).

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

984664512 is a wasteful number, since it uses less digits than its factorization.

984664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 984664512 is about 31379.3644295100. The cubic root of 984664512 is about 994.8618149386.

The spelling of 984664512 in words is "nine hundred eighty-four million, six hundred sixty-four thousand, five hundred twelve".