180200196 has 72 divisors (see below), whose sum is σ = 501437664. Its totient is φ = 54109440.

The previous prime is 180200191. The next prime is 180200203. The reversal of 180200196 is 691002081.

It is a super-2 number, since 2×180200196² = 64944221276876832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180200191) 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 23 ways as a sum of consecutive naturals, for example, 42735 + ... + 46761.

It is an arithmetic number, because the mean of its divisors is an integer number (6964412).

Almost surely, 2^180200196 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 180200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250718832).

180200196 is an abundant number, since it is smaller than the sum of its proper divisors (321237468).

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

180200196 is a wasteful number, since it uses less digits than its factorization.

180200196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 180200196 is about 13423.8666560719. The cubic root of 180200196 is about 564.8308638274.

It can be divided in two parts, 18020019 and 6, that added together give a square (18020025 = 4245²).

The spelling of 180200196 in words is "one hundred eighty million, two hundred thousand, one hundred ninety-six".