63171216 has 60 divisors (see below), whose sum is σ = 177785868. Its totient is φ = 20938752.

The previous prime is 63171203. The next prime is 63171233. The reversal of 63171216 is 61217136.

63171216 is a `hidden beast` number, since 631 + 7 + 1 + 21 + 6 = 666.

63171216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 26010000 = 6096^2 + 5100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63171216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26656 + ... + 28928.

Almost surely, 2^63171216 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 63171216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88892934).

63171216 is an abundant number, since it is smaller than the sum of its proper divisors (114614652).

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

63171216 is a wasteful number, since it uses less digits than its factorization.

63171216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2471 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 63171216 is about 7948.0322092956. The cubic root of 63171216 is about 398.2658594224.

The spelling of 63171216 in words is "sixty-three million, one hundred seventy-one thousand, two hundred sixteen".