63688608 has 144 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 19740672.

The previous prime is 63688517. The next prime is 63688609. The reversal of 63688608 is 80688636.

63688608 is a `hidden beast` number, since 6 + 36 + 8 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (63688609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563560 + ... + 563672.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 2^63688608 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 63688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

63688608 is an abundant number, since it is smaller than the sum of its proper divisors (130512672).

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

63688608 is a wasteful number, since it uses less digits than its factorization.

63688608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 63688608 is about 7980.5142691433. The cubic root of 63688608 is about 399.3502116761.

The spelling of 63688608 in words is "sixty-three million, six hundred eighty-eight thousand, six hundred eight".