804006 has 40 divisors (see below), whose sum is σ = 2061840. Its totient is φ = 229392.

The previous prime is 803989. The next prime is 804007. The reversal of 804006 is 600408.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 804006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 780 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (51546).

2⁸⁰⁴⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030920).

804006 is an abundant number, since it is smaller than the sum of its proper divisors (1257834).

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

804006 is a wasteful number, since it uses less digits than its factorization.

804006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 804006 is about 896.6638166002. The cubic root of 804006 is about 92.9864704564.

The spelling of 804006 in words is "eight hundred four thousand, six".