506064 has 40 divisors (see below), whose sum is σ = 1409632. Its totient is φ = 155520.

The previous prime is 506047. The next prime is 506071. The reversal of 506064 is 460605.

506064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×506064² = 512201544192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506064.

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 506064.

It is an unprimeable number.

506064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 1029.

2⁵⁰⁶⁰⁶⁴ 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 506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704816).

506064 is an abundant number, since it is smaller than the sum of its proper divisors (903568).

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

506064 is a wasteful number, since it uses less digits than its factorization.

506064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

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

The square root of 506064 is about 711.3817540533. The cubic root of 506064 is about 79.6896307773.

Adding to 506064 its reverse (460605), we get a palindrome (966669).

The spelling of 506064 in words is "five hundred six thousand, sixty-four".