8301317920 has 192 divisors, whose sum is σ = 23063927040. Its totient is φ = 2764689408.

The previous prime is 8301317903. The next prime is 8301317939. The reversal of 8301317920 is 297131038.

It is a super-3 number, since 3×8301317920³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6469599 + ... + 6470881.

It is an arithmetic number, because the mean of its divisors is an integer number (120124620).

Almost surely, 2^8301317920 is an apocalyptic number.

8301317920 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 8301317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531963520).

8301317920 is an abundant number, since it is smaller than the sum of its proper divisors (14762609120).

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

8301317920 is a wasteful number, since it uses less digits than its factorization.

8301317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 8301317920 is about 91111.5685300171. The cubic root of 8301317920 is about 2024.8010103709.

Adding to 8301317920 its reverse (297131038), we get a palindrome (8598448958).

The spelling of 8301317920 in words is "eight billion, three hundred one million, three hundred seventeen thousand, nine hundred twenty".