820736 has 40 divisors (see below), whose sum is σ = 1882320. Its totient is φ = 350208.

The previous prime is 820733. The next prime is 820747. The reversal of 820736 is 637028.

It is a nialpdrome in base 7 and base 16.

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 820736.

It is not an unprimeable number, because it can be changed into a prime (820733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3470 + ... + 3698.

It is an arithmetic number, because the mean of its divisors is an integer number (47058).

2⁸²⁰⁷³⁶ 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 820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941160).

820736 is an abundant number, since it is smaller than the sum of its proper divisors (1061584).

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

820736 is an equidigital number, since it uses as much as digits as its factorization.

820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 820736 is about 905.9448106811. The cubic root of 820736 is about 93.6270114654.

The spelling of 820736 in words is "eight hundred twenty thousand, seven hundred thirty-six".