200540 has 24 divisors (see below), whose sum is σ = 434112. Its totient is φ = 77760.

The previous prime is 200513. The next prime is 200569. The reversal of 200540 is 45002.

200540 is a modest number, since divided by 540 gives 200 as remainder.

It is a congruent number.

It is an unprimeable number.

200540 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 7 ways as a sum of consecutive naturals, for example, 605 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (18088).

2²⁰⁰⁵⁴⁰ is an apocalyptic number.

200540 is a gapful number since it is divisible by the number (20) 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 200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217056).

200540 is an abundant number, since it is smaller than the sum of its proper divisors (233572).

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

200540 is a wasteful number, since it uses less digits than its factorization.

200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 200540 is about 447.8169268797. The cubic root of 200540 is about 58.5329397854.

Adding to 200540 its reverse (45002), we get a palindrome (245542).

It can be divided in two parts, 2005 and 40, that multiplied together give a triangular number (80200 = T₄₀₀).

The spelling of 200540 in words is "two hundred thousand, five hundred forty".