506784 has 24 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 168896.

The previous prime is 506783. The next prime is 506791. The reversal of 506784 is 487605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (506783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2544 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2⁵⁰⁶⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

506784 is an abundant number, since it is smaller than the sum of its proper divisors (823776).

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

506784 is a wasteful number, since it uses less digits than its factorization.

506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 506784 is about 711.8876315824. The cubic root of 506784 is about 79.7274055416.

It can be divided in two parts, 5067 and 84, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 506784 in words is "five hundred six thousand, seven hundred eighty-four".