63585984 has 336 divisors, whose sum is σ = 233501184. Its totient is φ = 14868480.

The previous prime is 63585983. The next prime is 63586013. The reversal of 63585984 is 48958536.

It is a happy number.

63585984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×63585984² = 8086354722496512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (63585983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2764597 + ... + 2764619.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 2^63585984 is an apocalyptic number.

63585984 is a gapful number since it is divisible by the number (64) 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 63585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

63585984 is an abundant number, since it is smaller than the sum of its proper divisors (169915200).

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

63585984 is a wasteful number, since it uses less digits than its factorization.

63585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 63585984 is about 7974.0820161320. The cubic root of 63585984 is about 399.1356000440.

The spelling of 63585984 in words is "sixty-three million, five hundred eighty-five thousand, nine hundred eighty-four".