200564 has 48 divisors (see below), whose sum is σ = 470400. Its totient is φ = 72576.

The previous prime is 200513. The next prime is 200569. The reversal of 200564 is 465002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200569) by changing a digit.

200564 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, 6902 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2²⁰⁰⁵⁶⁴ 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 200564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

200564 is an abundant number, since it is smaller than the sum of its proper divisors (269836).

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

200564 is a wasteful number, since it uses less digits than its factorization.

200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 200564 is about 447.8437227427. The cubic root of 200564 is about 58.5352747053.

Adding to 200564 its reverse (465002), we get a palindrome (665566).

The spelling of 200564 in words is "two hundred thousand, five hundred sixty-four".