128584 has 8 divisors (see below), whose sum is σ = 241110. Its totient is φ = 64288.

The previous prime is 128563. The next prime is 128591. The reversal of 128584 is 485821.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 6084 = 350^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8029 + ... + 8044.

2¹²⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

128584 is a deficient number, since it is larger than the sum of its proper divisors (112526).

128584 is a wasteful number, since it uses less digits than its factorization.

128584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16079 (or 16075 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 128584 is about 358.5861123914. The cubic root of 128584 is about 50.4733709230.

It can be divided in two parts, 1285 and 84, that added together give a square (1369 = 37²).

The spelling of 128584 in words is "one hundred twenty-eight thousand, five hundred eighty-four".