63787968 has 84 divisors (see below), whose sum is σ = 186034680. Its totient is φ = 20891136.

The previous prime is 63787949. The next prime is 63787979. The reversal of 63787968 is 86978736.

63787968 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 an unprimeable number.

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, 33046 + ... + 34922.

Almost surely, 2^63787968 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 63787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93017340).

63787968 is an abundant number, since it is smaller than the sum of its proper divisors (122246712).

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

63787968 is a wasteful number, since it uses less digits than its factorization.

63787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1941 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 63787968 is about 7986.7370058116. The cubic root of 63787968 is about 399.5577779460.

The spelling of 63787968 in words is "sixty-three million, seven hundred eighty-seven thousand, nine hundred sixty-eight".