6563984 has 40 divisors (see below), whose sum is σ = 14701440. Its totient is φ = 2780928.

The previous prime is 6563983. The next prime is 6564001. The reversal of 6563984 is 4893656.

6563984 = 47² + 48² + ... + 270².

It is not an unprimeable number, because it can be changed into a prime (6563981) 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, 11252 + ... + 11820.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 2^6563984 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 6563984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350720).

6563984 is an abundant number, since it is smaller than the sum of its proper divisors (8137456).

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

6563984 is a wasteful number, since it uses less digits than its factorization.

6563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 6563984 is about 2562.0273222587. The cubic root of 6563984 is about 187.2359209808.

The spelling of 6563984 in words is "six million, five hundred sixty-three thousand, nine hundred eighty-four".