63306768 has 160 divisors (see below), whose sum is σ = 198201600. Its totient is φ = 17031168.

The previous prime is 63306757. The next prime is 63306769. The reversal of 63306768 is 86760336.

It is a happy number.

63306768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63306769) 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 31 ways as a sum of consecutive naturals, for example, 711268 + ... + 711356.

It is an arithmetic number, because the mean of its divisors is an integer number (1238760).

Almost surely, 2^63306768 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 63306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

63306768 is an abundant number, since it is smaller than the sum of its proper divisors (134894832).

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

63306768 is a wasteful number, since it uses less digits than its factorization.

63306768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 63306768 is about 7956.5550334300. Note that the first 3 decimals coincide. The cubic root of 63306768 is about 398.5505205343.

The spelling of 63306768 in words is "sixty-three million, three hundred six thousand, seven hundred sixty-eight".