506576 has 20 divisors (see below), whose sum is σ = 1121952. Its totient is φ = 217056.

The previous prime is 506573. The next prime is 506591. The reversal of 506576 is 675605.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506573) 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 3 ways as a sum of consecutive naturals, for example, 2150 + ... + 2373.

2⁵⁰⁶⁵⁷⁶ is an apocalyptic number.

506576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506576 is an abundant number, since it is smaller than the sum of its proper divisors (615376).

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

506576 is a wasteful number, since it uses less digits than its factorization.

506576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 506576 is about 711.7415261175. The cubic root of 506576 is about 79.7164965089.

Adding to 506576 its sum of digits (29), we get a palindrome (506605).

The spelling of 506576 in words is "five hundred six thousand, five hundred seventy-six".