63657568 has 72 divisors (see below), whose sum is σ = 138348000. Its totient is φ = 28813824.

The previous prime is 63657563. The next prime is 63657577. The reversal of 63657568 is 86575636.

It is a happy number.

63657568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63657563) 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 11 ways as a sum of consecutive naturals, for example, 427158 + ... + 427306.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 2^63657568 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 63657568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174000).

63657568 is an abundant number, since it is smaller than the sum of its proper divisors (74690432).

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

63657568 is a wasteful number, since it uses less digits than its factorization.

63657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 63657568 is about 7978.5692953060. The cubic root of 63657568 is about 399.2853238555.

The spelling of 63657568 in words is "sixty-three million, six hundred fifty-seven thousand, five hundred sixty-eight".