63117216 has 72 divisors (see below), whose sum is σ = 182224224. Its totient is φ = 20718720.

The previous prime is 63117211. The next prime is 63117233. The reversal of 63117216 is 61271136.

63117216 is a `hidden beast` number, since 631 + 1 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 63117216.

It is not an unprimeable number, because it can be changed into a prime (63117211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17661 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (2530892).

Almost surely, 2^63117216 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 63117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91112112).

63117216 is an abundant number, since it is smaller than the sum of its proper divisors (119107008).

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

63117216 is a wasteful number, since it uses less digits than its factorization.

63117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3343 counting only the distinct ones).

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

The square root of 63117216 is about 7944.6344157551. The cubic root of 63117216 is about 398.1523452371.

The spelling of 63117216 in words is "sixty-three million, one hundred seventeen thousand, two hundred sixteen".