8679671520 has 192 divisors, whose sum is σ = 29658908160. Its totient is φ = 2120951808.

The previous prime is 8679671513. The next prime is 8679671549. The reversal of 8679671520 is 251769768.

It is a super-2 number, since 2×8679671520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862357 + ... + 872363.

It is an arithmetic number, because the mean of its divisors is an integer number (154473480).

Almost surely, 2^8679671520 is an apocalyptic number.

8679671520 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 8679671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829454080).

8679671520 is an abundant number, since it is smaller than the sum of its proper divisors (20979236640).

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

8679671520 is a wasteful number, since it uses less digits than its factorization.

8679671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 8679671520 is about 93164.7547090637. The cubic root of 8679671520 is about 2055.1069592271.

The spelling of 8679671520 in words is "eight billion, six hundred seventy-nine million, six hundred seventy-one thousand, five hundred twenty".