806004 has 48 divisors (see below), whose sum is σ = 2217600. Its totient is φ = 252288.

The previous prime is 805991. The next prime is 806009. The reversal of 806004 is 400608.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁸⁰⁶⁰⁰⁴ 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 806004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108800).

806004 is an abundant number, since it is smaller than the sum of its proper divisors (1411596).

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

806004 is a wasteful number, since it uses less digits than its factorization.

806004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

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

The square root of 806004 is about 897.7772552254. Note that the first 3 decimals coincide. The cubic root of 806004 is about 93.0634322714.

It can be divided in two parts, 80 and 6004, that added together give a square (6084 = 78²).

The spelling of 806004 in words is "eight hundred six thousand, four".