663272224 has 48 divisors (see below), whose sum is σ = 1356377400. Its totient is φ = 318889984.

The previous prime is 663272219. The next prime is 663272227. The reversal of 663272224 is 422272366.

It can be written as a sum of positive squares in 4 ways, for example, as 472279824 + 190992400 = 21732^2 + 13820^2 .

It is a super-3 number, since 3×663272224³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 663272224.

It is not an unprimeable number, because it can be changed into a prime (663272227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248304 + ... + 250960.

Almost surely, 2^663272224 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 663272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678188700).

663272224 is an abundant number, since it is smaller than the sum of its proper divisors (693105176).

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

663272224 is a wasteful number, since it uses less digits than its factorization.

663272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2957 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 663272224 is about 25754.0719887167. The cubic root of 663272224 is about 872.0952817916.

The spelling of 663272224 in words is "six hundred sixty-three million, two hundred seventy-two thousand, two hundred twenty-four".