8217861120 has 528 divisors, whose sum is σ = 33082795200. Its totient is φ = 1847328768.

The previous prime is 8217861103. The next prime is 8217861139. The reversal of 8217861120 is 211687128.

8217861120 is a `hidden beast` number, since 8 + 2 + 17 + 8 + 611 + 20 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23546706 + ... + 23547054.

Almost surely, 2^8217861120 is an apocalyptic number.

8217861120 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 8217861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541397600).

8217861120 is an abundant number, since it is smaller than the sum of its proper divisors (24864934080).

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

8217861120 is a wasteful number, since it uses less digits than its factorization.

8217861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8217861120 is about 90652.4192727365. The cubic root of 8217861120 is about 2017.9927386001.

The spelling of 8217861120 in words is "eight billion, two hundred seventeen million, eight hundred sixty-one thousand, one hundred twenty".