820336 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 361920.

The previous prime is 820333. The next prime is 820343. The reversal of 820336 is 633028.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10345 + ... + 10423.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁸²⁰³³⁶ 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 820336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

820336 is an abundant number, since it is smaller than the sum of its proper divisors (965264).

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

820336 is a wasteful number, since it uses less digits than its factorization.

820336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 820336 is about 905.7240197764. The cubic root of 820336 is about 93.6117987415.

It can be divided in two parts, 820 and 336, that added together give a square (1156 = 34²).

The spelling of 820336 in words is "eight hundred twenty thousand, three hundred thirty-six".