663387312 has 80 divisors (see below), whose sum is σ = 1969016832. Its totient is φ = 188528640.

The previous prime is 663387289. The next prime is 663387317. The reversal of 663387312 is 213783366.

663387312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (663387317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59008 + ... + 69344.

Almost surely, 2^663387312 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 663387312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984508416).

663387312 is an abundant number, since it is smaller than the sum of its proper divisors (1305629520).

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

663387312 is a wasteful number, since it uses less digits than its factorization.

663387312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10546 (or 10540 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 663387312 is about 25756.3062569150. The cubic root of 663387312 is about 872.1457195523.

The spelling of 663387312 in words is "six hundred sixty-three million, three hundred eighty-seven thousand, three hundred twelve".