506624 has 18 divisors (see below), whose sum is σ = 1011780. Its totient is φ = 253184.

The previous prime is 506609. The next prime is 506629. The reversal of 506624 is 426605.

It is a self number, because there is not a number n which added to its sum of digits gives 506624.

It is not an unprimeable number, because it can be changed into a prime (506629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 734 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (56210).

2⁵⁰⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

506624 is a deficient number, since it is larger than the sum of its proper divisors (505156).

506624 is an equidigital number, since it uses as much as digits as its factorization.

506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 506624 is about 711.7752454251. The cubic root of 506624 is about 79.7190142430.

The spelling of 506624 in words is "five hundred six thousand, six hundred twenty-four".