206220 has 48 divisors (see below), whose sum is σ = 661248. Its totient is φ = 47040.

The previous prime is 206209. The next prime is 206221. The reversal of 206220 is 22602.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 206196 and 206205.

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 206220.

It is not an unprimeable number, because it can be changed into a prime (206221) by changing a digit.

206220 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, 175 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2²⁰⁶²²⁰ is an apocalyptic number.

206220 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 206220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330624).

206220 is an abundant number, since it is smaller than the sum of its proper divisors (455028).

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

206220 is a wasteful number, since it uses less digits than its factorization.

206220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 206220 is about 454.1145230005. The cubic root of 206220 is about 59.0804227402.

Adding to 206220 its reverse (22602), we get a palindrome (228822).

The spelling of 206220 in words is "two hundred six thousand, two hundred twenty".