63585216 has 112 divisors (see below), whose sum is σ = 193121280. Its totient is φ = 20494080.

The previous prime is 63585169. The next prime is 63585281. The reversal of 63585216 is 61258536.

63585216 is a `hidden beast` number, since 63 + 585 + 2 + 16 = 666.

63585216 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 congruent number.

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, 52975 + ... + 54161.

Almost surely, 2^63585216 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 63585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96560640).

63585216 is an abundant number, since it is smaller than the sum of its proper divisors (129536064).

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

63585216 is a wasteful number, since it uses less digits than its factorization.

63585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1223 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 63585216 is about 7974.0338599733. The cubic root of 63585216 is about 399.1339930999.

The spelling of 63585216 in words is "sixty-three million, five hundred eighty-five thousand, two hundred sixteen".