806208 has 112 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 221184.

The previous prime is 806203. The next prime is 806213. The reversal of 806208 is 802608.

It is an interprime number because it is at equal distance from previous prime (806203) and next prime (806213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42423 + ... + 42441.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁸⁰⁶²⁰⁸ 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 806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

806208 is an abundant number, since it is smaller than the sum of its proper divisors (1754112).

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

806208 is a wasteful number, since it uses less digits than its factorization.

806208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 806208 is about 897.8908619649. The cubic root of 806208 is about 93.0712830756.

Subtracting from 806208 its reverse (802608), we obtain a square (3600 = 60²).

The spelling of 806208 in words is "eight hundred six thousand, two hundred eight".