196584 has 16 divisors (see below), whose sum is σ = 491520. Its totient is φ = 65520.

The previous prime is 196583. The next prime is 196597. The reversal of 196584 is 485691.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196584.

It is not an unprimeable number, because it can be changed into a prime (196583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4072 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (30720).

196584 is a Friedman number, since it can be written as 6*(8^(4+1)-9+5), using all its digits and the basic arithmetic operations.

2¹⁹⁶⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

196584 is an abundant number, since it is smaller than the sum of its proper divisors (294936).

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

196584 is a wasteful number, since it uses less digits than its factorization.

196584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8196 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 196584 is about 443.3779426178. The cubic root of 196584 is about 58.1454928319.

It can be divided in two parts, 196 and 584, that added together give a triangular number (780 = T₃₉).

The spelling of 196584 in words is "one hundred ninety-six thousand, five hundred eighty-four".