63613968 has 80 divisors (see below), whose sum is σ = 180440832. Its totient is φ = 19152000.

The previous prime is 63613967. The next prime is 63613973. The reversal of 63613968 is 86931636.

It is not an unprimeable number, because it can be changed into a prime (63613967) 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, 111123 + ... + 111693.

Almost surely, 2^63613968 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 63613968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90220416).

63613968 is an abundant number, since it is smaller than the sum of its proper divisors (116826864).

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

63613968 is a wasteful number, since it uses less digits than its factorization.

63613968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 63613968 is about 7975.8365078530. The cubic root of 63613968 is about 399.1941442482.

The spelling of 63613968 in words is "sixty-three million, six hundred thirteen thousand, nine hundred sixty-eight".