506268 has 72 divisors (see below), whose sum is σ = 1528800. Its totient is φ = 141120.

The previous prime is 506263. The next prime is 506269. The reversal of 506268 is 862605.

506268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12328 + ... + 12368.

2⁵⁰⁶²⁶⁸ 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 506268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764400).

506268 is an abundant number, since it is smaller than the sum of its proper divisors (1022532).

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

506268 is a wasteful number, since it uses less digits than its factorization.

506268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506268 is about 711.5251225361. The cubic root of 506268 is about 79.7003372629.

The spelling of 506268 in words is "five hundred six thousand, two hundred sixty-eight".