63306560 has 56 divisors (see below), whose sum is σ = 151720296. Its totient is φ = 25159680.

The previous prime is 63306547. The next prime is 63306563. The reversal of 63306560 is 6560336.

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 57274624 = 2456^2 + 7568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63306563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57374 + ... + 58466.

It is an arithmetic number, because the mean of its divisors is an integer number (2709291).

Almost surely, 2^63306560 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 63306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75860148).

63306560 is an abundant number, since it is smaller than the sum of its proper divisors (88413736).

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

63306560 is a wasteful number, since it uses less digits than its factorization.

63306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 63306560 is about 7956.5419624357. The cubic root of 63306560 is about 398.5500840428.

Adding to 63306560 its reverse (6560336), we get a palindrome (69866896).

The spelling of 63306560 in words is "sixty-three million, three hundred six thousand, five hundred sixty".