505664 has 14 divisors (see below), whose sum is σ = 1003554. Its totient is φ = 252800.

The previous prime is 505663. The next prime is 505669. The reversal of 505664 is 466505.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 43264 = 680^2 + 208^2 .

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 505664.

It is not an unprimeable number, because it can be changed into a prime (505663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3887 + ... + 4014.

2⁵⁰⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

505664 is a deficient number, since it is larger than the sum of its proper divisors (497890).

505664 is an equidigital number, since it uses as much as digits as its factorization.

505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 505664 is about 711.1005554772. The cubic root of 505664 is about 79.6686293135.

The spelling of 505664 in words is "five hundred five thousand, six hundred sixty-four".