663504 has 40 divisors (see below), whose sum is σ = 1791552. Its totient is φ = 211200.

The previous prime is 663463. The next prime is 663517. The reversal of 663504 is 405366.

663504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 1404.

2⁶⁶³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895776).

663504 is an abundant number, since it is smaller than the sum of its proper divisors (1128048).

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

663504 is a wasteful number, since it uses less digits than its factorization.

663504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

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

The square root of 663504 is about 814.5575486115. The cubic root of 663504 is about 87.2196852564.

It can be divided in two parts, 66 and 3504, that added together give a triangular number (3570 = T₈₄).

The spelling of 663504 in words is "six hundred sixty-three thousand, five hundred four".