63984 has 40 divisors (see below), whose sum is σ = 174592. Its totient is φ = 20160.

The previous prime is 63977. The next prime is 63997. The reversal of 63984 is 48936.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467 + ... + 1509.

2⁶³⁹⁸⁴ 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 63984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87296).

63984 is an abundant number, since it is smaller than the sum of its proper divisors (110608).

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

63984 is a wasteful number, since it uses less digits than its factorization.

63984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 63984 is about 252.9505880602. The cubic root of 63984 is about 39.9966663889.

The spelling of 63984 in words is "sixty-three thousand, nine hundred eighty-four".