159984 has 60 divisors (see below), whose sum is σ = 493272. Its totient is φ = 48000.

The previous prime is 159979. The next prime is 160001. The reversal of 159984 is 489951.

159984 = 19³ + 20³ + ... + 29³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534 + ... + 1634.

2¹⁵⁹⁹⁸⁴ 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 159984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636).

159984 is an abundant number, since it is smaller than the sum of its proper divisors (333288).

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

159984 is a wasteful number, since it uses less digits than its factorization.

159984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 159984 is about 399.9799995000. The cubic root of 159984 is about 54.2865426598.

159984 divided by its sum of digits (36) gives a palindrome (4444).

Multiplying 159984 by its reverse (489951), we get a square (78384320784 = 279972²).

It can be divided in two parts, 15 and 9984, that added together give a palindrome (9999).

The spelling of 159984 in words is "one hundred fifty-nine thousand, nine hundred eighty-four".