8217537216 has 112 divisors (see below), whose sum is σ = 25317321984. Its totient is φ = 2303548416.

The previous prime is 8217537143. The next prime is 8217537233. The reversal of 8217537216 is 6127357128.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13551 + ... + 128913.

Almost surely, 2^8217537216 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 8217537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658660992).

8217537216 is an abundant number, since it is smaller than the sum of its proper divisors (17099784768).

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

8217537216 is a wasteful number, since it uses less digits than its factorization.

8217537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115438 (or 115428 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 8217537216 is about 90650.6327391045. The cubic root of 8217537216 is about 2017.9662254357.

The spelling of 8217537216 in words is "eight billion, two hundred seventeen million, five hundred thirty-seven thousand, two hundred sixteen".