63768960 has 96 divisors (see below), whose sum is σ = 220222080. Its totient is φ = 17003520.

The previous prime is 63768917. The next prime is 63768977. The reversal of 63768960 is 6986736.

63768960 is a `hidden beast` number, since 637 + 6 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (2293980).

Almost surely, 2^63768960 is an apocalyptic number.

63768960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110111040).

63768960 is an abundant number, since it is smaller than the sum of its proper divisors (156453120).

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

63768960 is a wasteful number, since it uses less digits than its factorization.

63768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 63768960 is about 7985.5469443239. The cubic root of 63768960 is about 399.5180862978.

The spelling of 63768960 in words is "sixty-three million, seven hundred sixty-eight thousand, nine hundred sixty".