8417866560 has 112 divisors (see below), whose sum is σ = 26818839936. Its totient is φ = 2237028352.

The previous prime is 8417866543. The next prime is 8417866607. The reversal of 8417866560 is 656687148.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266317 + ... + 296243.

It is an arithmetic number, because the mean of its divisors is an integer number (239453928).

Almost surely, 2^8417866560 is an apocalyptic number.

8417866560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8417866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409419968).

8417866560 is an abundant number, since it is smaller than the sum of its proper divisors (18400973376).

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

8417866560 is a wasteful number, since it uses less digits than its factorization.

8417866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30240 (or 30230 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 8417866560 is about 91748.9322008709. The cubic root of 8417866560 is about 2034.2329236906.

The spelling of 8417866560 in words is "eight billion, four hundred seventeen million, eight hundred sixty-six thousand, five hundred sixty".