663312 has 40 divisors (see below), whose sum is σ = 1847104. Its totient is φ = 203904.

The previous prime is 663301. The next prime is 663319. The reversal of 663312 is 213366.

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 (663319) by changing a digit.

663312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 1155.

2⁶⁶³³¹² 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 663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923552).

663312 is an abundant number, since it is smaller than the sum of its proper divisors (1183792).

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

663312 is a wasteful number, since it uses less digits than its factorization.

663312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 663312 is about 814.4396846913. The cubic root of 663312 is about 87.2112714437.

Adding to 663312 its reverse (213366), we get a palindrome (876678).

The spelling of 663312 in words is "six hundred sixty-three thousand, three hundred twelve".