63792168 has 64 divisors (see below), whose sum is σ = 175504320. Its totient is φ = 19321280.

The previous prime is 63792167. The next prime is 63792191. The reversal of 63792168 is 86129736.

It is a happy number.

It is a Cunningham number, because it is equal to 7987²-1.

It is not an unprimeable number, because it can be changed into a prime (63792161) 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, 30946 + ... + 32942.

It is an arithmetic number, because the mean of its divisors is an integer number (2742255).

Almost surely, 2^63792168 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 63792168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87752160).

63792168 is an abundant number, since it is smaller than the sum of its proper divisors (111712152).

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

63792168 is a wasteful number, since it uses less digits than its factorization.

63792168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2013 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 63792168 is about 7986.9999373983. Note that the first 4 decimals coincide. The cubic root of 63792168 is about 399.5665471329.

The spelling of 63792168 in words is "sixty-three million, seven hundred ninety-two thousand, one hundred sixty-eight".