63768096 has 144 divisors (see below), whose sum is σ = 211970304. Its totient is φ = 17805312.

The previous prime is 63768077. The next prime is 63768101. The reversal of 63768096 is 69086736.

63768096 is a `hidden beast` number, since 637 + 6 + 8 + 0 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94416 + ... + 95088.

It is an arithmetic number, because the mean of its divisors is an integer number (1472016).

Almost surely, 2^63768096 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 63768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105985152).

63768096 is an abundant number, since it is smaller than the sum of its proper divisors (148202208).

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

63768096 is a wasteful number, since it uses less digits than its factorization.

63768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

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

The square root of 63768096 is about 7985.4928464059. The cubic root of 63768096 is about 399.5162819446.

The spelling of 63768096 in words is "sixty-three million, seven hundred sixty-eight thousand, ninety-six".