506826 has 24 divisors (see below), whose sum is σ = 1129284. Its totient is φ = 164160.

The previous prime is 506809. The next prime is 506837. The reversal of 506826 is 628605.

It can be written as a sum of positive squares in 2 ways, for example, as 497025 + 9801 = 705^2 + 99^2 .

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 506826.

It is an unprimeable number.

506826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 286 + ... + 1046.

2⁵⁰⁶⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564642).

506826 is an abundant number, since it is smaller than the sum of its proper divisors (622458).

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

506826 is a wasteful number, since it uses less digits than its factorization.

506826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506826 is about 711.9171300088. The cubic root of 506826 is about 79.7296079648.

The spelling of 506826 in words is "five hundred six thousand, eight hundred twenty-six".