506720 has 24 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 202624.

The previous prime is 506699. The next prime is 506729. The reversal of 506720 is 27605.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 506692 and 506701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506729) 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, 1424 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁵⁰⁶⁷²⁰ is an apocalyptic number.

It is an amenable number.

506720 is an abundant number, since it is smaller than the sum of its proper divisors (690784).

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

506720 is a wasteful number, since it uses less digits than its factorization.

506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 506720 is about 711.8426792487. The cubic root of 506720 is about 79.7240492341.

The spelling of 506720 in words is "five hundred six thousand, seven hundred twenty".