820992 has 36 divisors (see below), whose sum is σ = 2187080. Its totient is φ = 273408.

The previous prime is 820991. The next prime is 820997. The reversal of 820992 is 299028.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234 + ... + 1302.

2⁸²⁰⁹⁹² 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 820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093540).

820992 is an abundant number, since it is smaller than the sum of its proper divisors (1366088).

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

820992 is a wasteful number, since it uses less digits than its factorization.

820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 820992 is about 906.0860886251. The cubic root of 820992 is about 93.6367450148.

The spelling of 820992 in words is "eight hundred twenty thousand, nine hundred ninety-two".