819104 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 341760.

The previous prime is 819101. The next prime is 819131. The reversal of 819104 is 401918.

It is a self number, because there is not a number n which added to its sum of digits gives 819104.

It is not an unprimeable number, because it can be changed into a prime (819101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4487 + ... + 4665.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸¹⁹¹⁰⁴ 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 819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

819104 is an abundant number, since it is smaller than the sum of its proper divisors (1086016).

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

819104 is a wasteful number, since it uses less digits than its factorization.

819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 819104 is about 905.0436453564. The cubic root of 819104 is about 93.5649124579.

The spelling of 819104 in words is "eight hundred nineteen thousand, one hundred four".