127984 has 20 divisors (see below), whose sum is σ = 261640. Its totient is φ = 60480.

The previous prime is 127979. The next prime is 127997. The reversal of 127984 is 489721.

Its product of digits (4032) is a multiple of the sum of its prime factors (448).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (13082).

2¹²⁷⁹⁸⁴ 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 127984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130820).

127984 is an abundant number, since it is smaller than the sum of its proper divisors (133656).

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

127984 is a wasteful number, since it uses less digits than its factorization.

127984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 127984 is about 357.7485150214. The cubic root of 127984 is about 50.3947420399.

It can be divided in two parts, 127 and 984, that added together give a palindrome (1111).

The spelling of 127984 in words is "one hundred twenty-seven thousand, nine hundred eighty-four".