804096 has 54 divisors (see below), whose sum is σ = 2325050. Its totient is φ = 267264.

The previous prime is 804091. The next prime is 804107. The reversal of 804096 is 690408.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 57600 = 864^2 + 240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2130 + ... + 2478.

2⁸⁰⁴⁰⁹⁶ 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 804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162525).

804096 is an abundant number, since it is smaller than the sum of its proper divisors (1520954).

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

804096 is a wasteful number, since it uses less digits than its factorization.

804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 804096 is about 896.7140012289. The cubic root of 804096 is about 92.9899399455.

The spelling of 804096 in words is "eight hundred four thousand, ninety-six".