200820 has 24 divisors (see below), whose sum is σ = 562464. Its totient is φ = 53536.

The previous prime is 200807. The next prime is 200843. The reversal of 200820 is 28002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200796 and 200805.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200820.

It is an unprimeable number.

200820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2²⁰⁰⁸²⁰ is an apocalyptic number.

200820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200820 is an abundant number, since it is smaller than the sum of its proper divisors (361644).

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

200820 is a wasteful number, since it uses less digits than its factorization.

200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 200820 is about 448.1294455846. The cubic root of 200820 is about 58.5601689356.

Adding to 200820 its reverse (28002), we get a palindrome (228822).

The spelling of 200820 in words is "two hundred thousand, eight hundred twenty".