506640 has 40 divisors (see below), whose sum is σ = 1571328. Its totient is φ = 135040.

The previous prime is 506629. The next prime is 506647. The reversal of 506640 is 46605.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506640.

It is not an unprimeable number, because it can be changed into a prime (506647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 1295.

2⁵⁰⁶⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

506640 is an abundant number, since it is smaller than the sum of its proper divisors (1064688).

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

506640 is a wasteful number, since it uses less digits than its factorization.

506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

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

The square root of 506640 is about 711.7864848394. The cubic root of 506640 is about 79.7198534524.

The spelling of 506640 in words is "five hundred six thousand, six hundred forty".