506906 has 12 divisors (see below), whose sum is σ = 808638. Its totient is φ = 238272.

The previous prime is 506903. The next prime is 506911. The reversal of 506906 is 609605.

506906 = 200² + 201² + ... + 211².

It can be written as a sum of positive squares in 3 ways, for example, as 502681 + 4225 = 709^2 + 65^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140 + ... + 1016.

2⁵⁰⁶⁹⁰⁶ is an apocalyptic number.

506906 is a deficient number, since it is larger than the sum of its proper divisors (301732).

506906 is a wasteful number, since it uses less digits than its factorization.

506906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 506906 is about 711.9733141066. The cubic root of 506906 is about 79.7338027200.

The spelling of 506906 in words is "five hundred six thousand, nine hundred six".