663264 has 108 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 185472.

The previous prime is 663263. The next prime is 663269. The reversal of 663264 is 462366.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14089 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2⁶⁶³²⁶⁴ 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 663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

663264 is an abundant number, since it is smaller than the sum of its proper divisors (1577520).

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

663264 is a wasteful number, since it uses less digits than its factorization.

663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 663264 is about 814.4102160459. The cubic root of 663264 is about 87.2091677368.

The spelling of 663264 in words is "six hundred sixty-three thousand, two hundred sixty-four".