820384 has 24 divisors (see below), whose sum is σ = 1669248. Its totient is φ = 396480.

The previous prime is 820367. The next prime is 820399. The reversal of 820384 is 483028.

It is an unprimeable number.

820384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 579 + ... + 1405.

It is an arithmetic number, because the mean of its divisors is an integer number (69552).

2⁸²⁰³⁸⁴ 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 820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834624).

820384 is an abundant number, since it is smaller than the sum of its proper divisors (848864).

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

820384 is a wasteful number, since it uses less digits than its factorization.

820384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 820384 is about 905.7505175268. The cubic root of 820384 is about 93.6136245295.

The spelling of 820384 in words is "eight hundred twenty thousand, three hundred eighty-four".