820600 has 48 divisors (see below), whose sum is σ = 2086920. Its totient is φ = 297600.

The previous prime is 820597. The next prime is 820609. The reversal of 820600 is 6028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014 + ... + 2386.

2⁸²⁰⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043460).

820600 is an abundant number, since it is smaller than the sum of its proper divisors (1266320).

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

820600 is a wasteful number, since it uses less digits than its factorization.

With its successor (820601) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (391).

820600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 820600 is about 905.8697478115. The cubic root of 820600 is about 93.6218396940.

Adding to 820600 its reverse (6028), we get a palindrome (826628).

The spelling of 820600 in words is "eight hundred twenty thousand, six hundred".