20592 has 60 divisors (see below), whose sum is σ = 67704. Its totient is φ = 5760.

The previous prime is 20563. The next prime is 20593. The reversal of 20592 is 29502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20592.

It is not an unprimeable number, because it can be changed into a prime (20593) by changing a digit.

20592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578 + ... + 1590.

2²⁰⁵⁹² is an apocalyptic number.

20592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 143×144.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852).

20592 is an abundant number, since it is smaller than the sum of its proper divisors (47112).

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

20592 is a wasteful number, since it uses less digits than its factorization.

20592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20592 is about 143.4991289172. The cubic root of 20592 is about 27.4093988038.

The spelling of 20592 in words is "twenty thousand, five hundred ninety-two".