820206 has 40 divisors (see below), whose sum is σ = 1890504. Its totient is φ = 265680.

The previous prime is 820201. The next prime is 820213. The reversal of 820206 is 602028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820201) by changing a digit.

820206 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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9841 + ... + 9923.

2⁸²⁰²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945252).

820206 is an abundant number, since it is smaller than the sum of its proper divisors (1070298).

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

820206 is a wasteful number, since it uses less digits than its factorization.

820206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 820206 is about 905.6522511428. The cubic root of 820206 is about 93.6068535416.

The spelling of 820206 in words is "eight hundred twenty thousand, two hundred six".