506864 has 20 divisors (see below), whose sum is σ = 996960. Its totient is φ = 249600.

The previous prime is 506861. The next prime is 506873. The reversal of 506864 is 468605.

It is a super-2 number, since 2×506864² = 513822228992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 506864.

It is not an unprimeable number, because it can be changed into a prime (506861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (49848).

2⁵⁰⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

506864 is a deficient number, since it is larger than the sum of its proper divisors (490096).

506864 is a wasteful number, since it uses less digits than its factorization.

506864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 506864 is about 711.9438180081. The cubic root of 506864 is about 79.7316005286.

The spelling of 506864 in words is "five hundred six thousand, eight hundred sixty-four".