59984 has 20 divisors (see below), whose sum is σ = 122016. Its totient is φ = 28512.

The previous prime is 59981. The next prime is 59999. The reversal of 59984 is 48995.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59984.

It is not an unprimeable number, because it can be changed into a prime (59981) 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 3 ways as a sum of consecutive naturals, for example, 287 + ... + 449.

2⁵⁹⁹⁸⁴ 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 59984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008).

59984 is an abundant number, since it is smaller than the sum of its proper divisors (62032).

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

59984 is a wasteful number, since it uses less digits than its factorization.

59984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 59984 is about 244.9163122375. The cubic root of 59984 is about 39.1451962200.

The spelling of 59984 in words is "fifty-nine thousand, nine hundred eighty-four".