20196 has 48 divisors (see below), whose sum is σ = 60480. Its totient is φ = 5760.

The previous prime is 20183. The next prime is 20201. The reversal of 20196 is 69102.

20196 = T_{40} + T_{41} + ... +
T_{56}.

20196 = 1^{9} + 2^{9} + 3^{9}.

20196 is nontrivially palindromic in base 16.

20196 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

20196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2^{20196} 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 20196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

20196 is an abundant number, since it is smaller than the sum of its proper divisors (40284).

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

20196 is a wasteful number, since it uses less digits than its factorization.

20196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20196 is about 142.1126313879. The cubic root of 20196 is about 27.2325590497.

Adding to 20196 its reverse (69102), we get a palindrome (89298).

It can be divided in two parts, 2019 and 6, that added together give a square (2025 = 45^{2}).

The spelling of 20196 in words is "twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196

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