506616 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 144000.

The previous prime is 506609. The next prime is 506629. The reversal of 506616 is 616605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4966 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁵⁰⁶⁶¹⁶ 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 506616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

506616 is an abundant number, since it is smaller than the sum of its proper divisors (962184).

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

506616 is a wasteful number, since it uses less digits than its factorization.

506616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506616 is about 711.7696256514. The cubic root of 506616 is about 79.7185946317.

It can be divided in two parts, 50 and 6616, that added together give a palindrome (6666).

The spelling of 506616 in words is "five hundred six thousand, six hundred sixteen".