820056 has 32 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 267168.

The previous prime is 820051. The next prime is 820067. The reversal of 820056 is 650028.

It is a happy 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 820056.

It is not an unprimeable number, because it can be changed into a prime (820051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁸²⁰⁰⁵⁶ 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 820056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

820056 is an abundant number, since it is smaller than the sum of its proper divisors (1276584).

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

820056 is a wasteful number, since it uses less digits than its factorization.

820056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 820056 is about 905.5694341131. The cubic root of 820056 is about 93.6011468922.

It can be divided in two parts, 8200 and 56, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 820056 in words is "eight hundred twenty thousand, fifty-six".