820218 has 32 divisors (see below), whose sum is σ = 1912320. Its totient is φ = 229680.

The previous prime is 820213. The next prime is 820223. The reversal of 820218 is 812028.

It is an interprime number because it is at equal distance from previous prime (820213) and next prime (820223).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 820194 and 820203.

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 820218.

It is not an unprimeable number, because it can be changed into a prime (820213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2313 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (59760).

2⁸²⁰²¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956160).

820218 is an abundant number, since it is smaller than the sum of its proper divisors (1092102).

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

820218 is a wasteful number, since it uses less digits than its factorization.

820218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 820218 is about 905.6588761780. The cubic root of 820218 is about 93.6073100434.

The spelling of 820218 in words is "eight hundred twenty thousand, two hundred eighteen".