63584 has 12 divisors (see below), whose sum is σ = 125244. Its totient is φ = 31776.

The previous prime is 63577. The next prime is 63587. The reversal of 63584 is 48536.

It is a d-powerful number, because it can be written as 6⁶ + 3³ + 5 + 8³ + 4⁷ .

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63587) by changing a digit.

63584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 962 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (10437).

2⁶³⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

63584 is a deficient number, since it is larger than the sum of its proper divisors (61660).

63584 is a wasteful number, since it uses less digits than its factorization.

63584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1989 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 63584 is about 252.1586801996. The cubic root of 63584 is about 39.9131448745.

The spelling of 63584 in words is "sixty-three thousand, five hundred eighty-four".