506808 has 24 divisors (see below), whose sum is σ = 1372800. Its totient is φ = 168912.

The previous prime is 506797. The next prime is 506809. The reversal of 506808 is 808605.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3448 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (57200).

2⁵⁰⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

506808 is an abundant number, since it is smaller than the sum of its proper divisors (865992).

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

506808 is a wasteful number, since it uses less digits than its factorization.

506808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 506808 is about 711.9044879757. The cubic root of 506808 is about 79.7286640840.

The spelling of 506808 in words is "five hundred six thousand, eight hundred eight".