63795168 has 96 divisors (see below), whose sum is σ = 190149120. Its totient is φ = 20799360.

The previous prime is 63795163. The next prime is 63795181. The reversal of 63795168 is 86159736.

It is a happy number.

63795168 is a `hidden beast` number, since 63 + 79 + 516 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63795163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39823 + ... + 41393.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 2^63795168 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 63795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95074560).

63795168 is an abundant number, since it is smaller than the sum of its proper divisors (126353952).

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

63795168 is a wasteful number, since it uses less digits than its factorization.

63795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1623 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 63795168 is about 7987.1877403752. The cubic root of 63795168 is about 399.5728106021.

The spelling of 63795168 in words is "sixty-three million, seven hundred ninety-five thousand, one hundred sixty-eight".