820192 has 36 divisors (see below), whose sum is σ = 1728216. Its totient is φ = 383040.

The previous prime is 820187. The next prime is 820201. The reversal of 820192 is 291028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11517 + ... + 11587.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

2⁸²⁰¹⁹² 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 820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864108).

820192 is an abundant number, since it is smaller than the sum of its proper divisors (908024).

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

820192 is a wasteful number, since it uses less digits than its factorization.

820192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 820192 is about 905.6445218738. The cubic root of 820192 is about 93.6063209504.

The spelling of 820192 in words is "eight hundred twenty thousand, one hundred ninety-two".