663306 has 32 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 178176.

The previous prime is 663301. The next prime is 663319. The reversal of 663306 is 603366.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (663301) by changing a digit.

663306 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 15 ways as a sum of consecutive naturals, for example, 250 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁶⁶³³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

663306 is an abundant number, since it is smaller than the sum of its proper divisors (943734).

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

663306 is a wasteful number, since it uses less digits than its factorization.

663306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 663306 is about 814.4360011689. The cubic root of 663306 is about 87.2110084859.

It can be divided in two parts, 663 and 306, that added together give a palindrome (969).

The spelling of 663306 in words is "six hundred sixty-three thousand, three hundred six".