63228560 has 80 divisors (see below), whose sum is σ = 154958832. Its totient is φ = 23961600.

The previous prime is 63228551. The next prime is 63228563. The reversal of 63228560 is 6582236.

It can be written as a sum of positive squares in 8 ways, for example, as 3444736 + 59783824 = 1856^2 + 7732^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63228563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121100 + ... + 121620.

Almost surely, 2^63228560 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 63228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77479416).

63228560 is an abundant number, since it is smaller than the sum of its proper divisors (91730272).

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

63228560 is a wasteful number, since it uses less digits than its factorization.

63228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 63228560 is about 7951.6388247958. The cubic root of 63228560 is about 398.3863322784.

It can be divided in two parts, 632 and 28560, that added together give a palindrome (29192).

The spelling of 63228560 in words is "sixty-three million, two hundred twenty-eight thousand, five hundred sixty".