8687891520 has 672 divisors, whose sum is σ = 38662880256. Its totient is φ = 1804032000.

The previous prime is 8687891507. The next prime is 8687891557. The reversal of 8687891520 is 251987868.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 5986795 + ... + 5988245.

It is an arithmetic number, because the mean of its divisors is an integer number (57534048).

Almost surely, 2^8687891520 is an apocalyptic number.

8687891520 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 8687891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331440128).

8687891520 is an abundant number, since it is smaller than the sum of its proper divisors (29974988736).

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

8687891520 is a wasteful number, since it uses less digits than its factorization.

8687891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 8687891520 is about 93208.8596647336. The cubic root of 8687891520 is about 2055.7555110066.

The spelling of 8687891520 in words is "eight billion, six hundred eighty-seven million, eight hundred ninety-one thousand, five hundred twenty".