63639216 has 80 divisors (see below), whose sum is σ = 187175520. Its totient is φ = 20689920.

The previous prime is 63639209. The next prime is 63639239. The reversal of 63639216 is 61293636.

63639216 is a `hidden beast` number, since 6 + 3 + 639 + 2 + 16 = 666.

63639216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 15916 + ... + 19508.

It is an arithmetic number, because the mean of its divisors is an integer number (2339694).

Almost surely, 2^63639216 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 63639216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93587760).

63639216 is an abundant number, since it is smaller than the sum of its proper divisors (123536304).

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

63639216 is a wasteful number, since it uses less digits than its factorization.

63639216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3639 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 63639216 is about 7977.4191315237. The cubic root of 63639216 is about 399.2469498450.

The spelling of 63639216 in words is "sixty-three million, six hundred thirty-nine thousand, two hundred sixteen".