506632 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 212544.

The previous prime is 506629. The next prime is 506647. The reversal of 506632 is 236605.

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, 4594 + ... + 4702.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁵⁰⁶⁶³² 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 506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

506632 is an abundant number, since it is smaller than the sum of its proper divisors (602168).

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

506632 is a wasteful number, since it uses less digits than its factorization.

506632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 506632 is about 711.7808651544. The cubic root of 506632 is about 79.7194338499.

The spelling of 506632 in words is "five hundred six thousand, six hundred thirty-two".