506592 has 36 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 168768.

The previous prime is 506591. The next prime is 506593. The reversal of 506592 is 295605.

506592 is a `hidden beast` number, since 5 + 0 + 659 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (506591) and next prime (506593).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506592.

It is not an unprimeable number, because it can be changed into a prime (506591) 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, 592 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2⁵⁰⁶⁵⁹² is an apocalyptic number.

It is an amenable number.

506592 is an abundant number, since it is smaller than the sum of its proper divisors (934848).

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

506592 is a wasteful number, since it uses less digits than its factorization.

506592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 506592 is about 711.7527660642. The cubic root of 506592 is about 79.7173357713.

The spelling of 506592 in words is "five hundred six thousand, five hundred ninety-two".