820386 has 48 divisors (see below), whose sum is σ = 2156544. Its totient is φ = 220032.

The previous prime is 820367. The next prime is 820399. The reversal of 820386 is 683028.

It is a Curzon number.

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 820386.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 1951 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (44928).

2⁸²⁰³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078272).

820386 is an abundant number, since it is smaller than the sum of its proper divisors (1336158).

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

820386 is a wasteful number, since it uses less digits than its factorization.

820386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820386 is about 905.7516215829. The cubic root of 820386 is about 93.6137006024.

The spelling of 820386 in words is "eight hundred twenty thousand, three hundred eighty-six".