201800 has 24 divisors (see below), whose sum is σ = 469650. Its totient is φ = 80640.

The previous prime is 201797. The next prime is 201809. The reversal of 201800 is 8102.

It can be written as a sum of positive squares in 3 ways, for example, as 131044 + 70756 = 362^2 + 266^2 .

It is not an unprimeable number, because it can be changed into a prime (201809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305 + ... + 704.

2²⁰¹⁸⁰⁰ is an apocalyptic number.

201800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201800 is an abundant number, since it is smaller than the sum of its proper divisors (267850).

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

201800 is a wasteful number, since it uses less digits than its factorization.

201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 201800 is about 449.2215489043. The cubic root of 201800 is about 58.6552721213.

Adding to 201800 its reverse (8102), we get a palindrome (209902).

It can be divided in two parts, 201 and 800, that added together give a palindrome (1001).

The spelling of 201800 in words is "two hundred one thousand, eight hundred".