8220517032 has 256 divisors, whose sum is σ = 27113103360. Its totient is φ = 2017281024.

The previous prime is 8220517027. The next prime is 8220517033. The reversal of 8220517032 is 2307150228.

It is not an unprimeable number, because it can be changed into a prime (8220517033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1856373 + ... + 1860795.

It is an arithmetic number, because the mean of its divisors is an integer number (105910560).

Almost surely, 2^8220517032 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 8220517032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556551680).

8220517032 is an abundant number, since it is smaller than the sum of its proper divisors (18892586328).

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

8220517032 is a wasteful number, since it uses less digits than its factorization.

8220517032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8220517032 is about 90667.0669648026. The cubic root of 8220517032 is about 2018.2101120248.

The spelling of 8220517032 in words is "eight billion, two hundred twenty million, five hundred seventeen thousand, thirty-two".