503664 has 40 divisors (see below), whose sum is σ = 1488000. Its totient is φ = 143808.

The previous prime is 503663. The next prime is 503707. The reversal of 503664 is 466305.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 503664.

It is not an unprimeable number, because it can be changed into a prime (503663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁵⁰³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

503664 is an abundant number, since it is smaller than the sum of its proper divisors (984336).

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

503664 is a wasteful number, since it uses less digits than its factorization.

503664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 503664 is about 709.6928913269. The cubic root of 503664 is about 79.5634555278.

Adding to 503664 its reverse (466305), we get a palindrome (969969).

The spelling of 503664 in words is "five hundred three thousand, six hundred sixty-four".