20096 has 16 divisors (see below), whose sum is σ = 40290. Its totient is φ = 9984.

The previous prime is 20089. The next prime is 20101. The reversal of 20096 is 69002.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 1600 = 136^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

20096 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 as a sum of consecutive naturals, namely, 50 + ... + 206.

2²⁰⁰⁹⁶ 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 20096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145).

20096 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

20096 is an equidigital number, since it uses as much as digits as its factorization.

20096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 20096 is about 141.7603611734. The cubic root of 20096 is about 27.1875375434.

Adding to 20096 its reverse (69002), we get a palindrome (89098).

The spelling of 20096 in words is "twenty thousand, ninety-six".