506604 has 48 divisors (see below), whose sum is σ = 1395968. Its totient is φ = 139968.

The previous prime is 506599. The next prime is 506609. The reversal of 506604 is 406605.

It is an interprime number because it is at equal distance from previous prime (506599) and next prime (506609).

It is a super-2 number, since 2×506604² = 513295225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 15 ways as a sum of consecutive naturals, for example, 3027 + ... + 3189.

2⁵⁰⁶⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697984).

506604 is an abundant number, since it is smaller than the sum of its proper divisors (889364).

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

506604 is a wasteful number, since it uses less digits than its factorization.

506604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 506604 is about 711.7611959077. The cubic root of 506604 is about 79.7179652065.

Subtracting from 506604 its reverse (406605), we obtain a palindrome (99999).

The spelling of 506604 in words is "five hundred six thousand, six hundred four".