506916 has 18 divisors (see below), whose sum is σ = 1281462. Its totient is φ = 168960.

The previous prime is 506911. The next prime is 506929. The reversal of 506916 is 619605.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 22500 = 696^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 506916.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506916.

It is not an unprimeable number, because it can be changed into a prime (506911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7005 + ... + 7076.

2⁵⁰⁶⁹¹⁶ is an apocalyptic number.

It is an amenable number.

506916 is an abundant number, since it is smaller than the sum of its proper divisors (774546).

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

506916 is a wasteful number, since it uses less digits than its factorization.

506916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14091 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 506916 is about 711.9803368071. The cubic root of 506916 is about 79.7343270334.

Adding to 506916 its product of nonzero digits (1620), we get a triangular number (508536 = T₁₀₀₈).

The spelling of 506916 in words is "five hundred six thousand, nine hundred sixteen".