15984 has 40 divisors (see below), whose sum is σ = 47120. Its totient is φ = 5184.

The previous prime is 15973. The next prime is 15991. The reversal of 15984 is 48951.

15984 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

15984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

2¹⁵⁹⁸⁴ 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 15984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560).

15984 is an abundant number, since it is smaller than the sum of its proper divisors (31136).

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

15984 is a wasteful number, since it uses less digits than its factorization.

15984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 15984 is about 126.4278450342. The cubic root of 15984 is about 25.1900187229.

Adding to 15984 its product of digits (1440), we get a square (17424 = 132²).

Multiplying 15984 by its reverse (48951), we get a square (782432784 = 27972²).

It can be divided in two parts, 159 and 84, that added together give a 5-th power (243 = 3⁵).

The spelling of 15984 in words is "fifteen thousand, nine hundred eighty-four".