506712 has 32 divisors (see below), whose sum is σ = 1298880. Its totient is φ = 164640.

The previous prime is 506699. The next prime is 506729. The reversal of 506712 is 217605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (40590).

2⁵⁰⁶⁷¹² 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 506712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649440).

506712 is an abundant number, since it is smaller than the sum of its proper divisors (792168).

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

506712 is a wasteful number, since it uses less digits than its factorization.

506712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 506712 is about 711.8370600074. The cubic root of 506712 is about 79.7236296758.

The spelling of 506712 in words is "five hundred six thousand, seven hundred twelve".