8505984 has 64 divisors (see below), whose sum is σ = 23941440. Its totient is φ = 2666496.

The previous prime is 8505979. The next prime is 8505989. The reversal of 8505984 is 4895058.

It is an interprime number because it is at equal distance from previous prime (8505979) and next prime (8505989).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8505989) 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, 5877 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (374085).

Almost surely, 2^8505984 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 8505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970720).

8505984 is an abundant number, since it is smaller than the sum of its proper divisors (15435456).

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

8505984 is a wasteful number, since it uses less digits than its factorization.

8505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 8505984 is about 2916.5020144001. The cubic root of 8505984 is about 204.1306352816.

The spelling of 8505984 in words is "eight million, five hundred five thousand, nine hundred eighty-four".