663588 has 18 divisors (see below), whose sum is σ = 1677494. Its totient is φ = 221184.

The previous prime is 663587. The next prime is 663589. The reversal of 663588 is 885366.

It is an interprime number because it is at equal distance from previous prime (663587) and next prime (663589).

It can be written as a sum of positive squares in only one way, i.e., 580644 + 82944 = 762^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18433 = 663588 / (6 + 6 + 3 + 5 + 8 + 8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663588.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9181 + ... + 9252.

663588 is a Friedman number, since it can be written as 6*(6+(8+8*5)^3), using all its digits and the basic arithmetic operations.

2⁶⁶³⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

663588 is an abundant number, since it is smaller than the sum of its proper divisors (1013906).

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

663588 is a wasteful number, since it uses less digits than its factorization.

663588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443 (or 18438 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 663588 is about 814.6091087141. The cubic root of 663588 is about 87.2233657890.

It can be divided in two parts, 66358 and 8, that added together give a palindrome (66366).

The spelling of 663588 in words is "six hundred sixty-three thousand, five hundred eighty-eight".