196200 has 72 divisors (see below), whose sum is σ = 664950. Its totient is φ = 51840.

The previous prime is 196193. The next prime is 196201. The reversal of 196200 is 2691.

It can be written as a sum of positive squares in 3 ways, for example, as 161604 + 34596 = 402^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (196201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1746 + ... + 1854.

2¹⁹⁶²⁰⁰ is an apocalyptic number.

196200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332475).

196200 is an abundant number, since it is smaller than the sum of its proper divisors (468750).

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

196200 is a wasteful number, since it uses less digits than its factorization.

196200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

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

The square root of 196200 is about 442.9446918070. The cubic root of 196200 is about 58.1076083937.

Adding to 196200 its reverse (2691), we get a palindrome (198891).

The spelling of 196200 in words is "one hundred ninety-six thousand, two hundred".