804608 has 36 divisors (see below), whose sum is σ = 1839600. Its totient is φ = 344064.

The previous prime is 804607. The next prime is 804611. The reversal of 804608 is 806408.

It is a Cunningham number, because it is equal to 897²-1.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1568 + ... + 2016.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

2⁸⁰⁴⁶⁰⁸ 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 804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919800).

804608 is an abundant number, since it is smaller than the sum of its proper divisors (1034992).

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

804608 is an equidigital number, since it uses as much as digits as its factorization.

804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 804608 is about 896.9994425862. Note that the first 3 decimals coincide. The cubic root of 804608 is about 93.0096725593.

The spelling of 804608 in words is "eight hundred four thousand, six hundred eight".