506600 has 48 divisors (see below), whose sum is σ = 1255500. Its totient is φ = 189440.

The previous prime is 506599. The next prime is 506609. The reversal of 506600 is 6605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 148996 + 357604 = 386^2 + 598^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3326 + ... + 3474.

2⁵⁰⁶⁶⁰⁰ is an apocalyptic number.

506600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627750).

506600 is an abundant number, since it is smaller than the sum of its proper divisors (748900).

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

506600 is a wasteful number, since it uses less digits than its factorization.

506600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 506600 is about 711.7583859710. The cubic root of 506600 is about 79.7177553958.

The spelling of 506600 in words is "five hundred six thousand, six hundred".