506610 has 48 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 124416.

The previous prime is 506609. The next prime is 506629. The reversal of 506610 is 16605.

506610 is a `hidden beast` number, since 5 + 0 + 661 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205209 + 301401 = 453^2 + 549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 954 + ... + 1386.

2⁵⁰⁶⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

506610 is an abundant number, since it is smaller than the sum of its proper divisors (915174).

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

506610 is a wasteful number, since it uses less digits than its factorization.

506610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506610 is about 711.7654107921. The cubic root of 506610 is about 79.7182799203.

The spelling of 506610 in words is "five hundred six thousand, six hundred ten".