663584 has 24 divisors (see below), whose sum is σ = 1326780. Its totient is φ = 326656.

The previous prime is 663583. The next prime is 663587. The reversal of 663584 is 485366.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 67600 = 772^2 + 260^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 663584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2732 + ... + 2964.

663584 is a Friedman number, since it can be written as 8*(4+(6+6)^5/3), using all its digits and the basic arithmetic operations.

2⁶⁶³⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

663584 is a deficient number, since it is larger than the sum of its proper divisors (663196).

663584 is a wasteful number, since it uses less digits than its factorization.

663584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 663584 is about 814.6066535451. The cubic root of 663584 is about 87.2231905326.

The spelling of 663584 in words is "six hundred sixty-three thousand, five hundred eighty-four".