8287868160 has 1080 divisors, whose sum is σ = 35846151264. Its totient is φ = 1811496960.

The previous prime is 8287868159. The next prime is 8287868177. The reversal of 8287868160 is 618687828.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 8287868097 and 8287868106.

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 119 ways as a sum of consecutive naturals, for example, 192741099 + ... + 192741141.

Almost surely, 2^8287868160 is an apocalyptic number.

8287868160 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 8287868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923075632).

8287868160 is an abundant number, since it is smaller than the sum of its proper divisors (27558283104).

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

8287868160 is a wasteful number, since it uses less digits than its factorization.

8287868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8287868160 is about 91037.7293214193. The cubic root of 8287868160 is about 2023.7068946013.

The spelling of 8287868160 in words is "eight billion, two hundred eighty-seven million, eight hundred sixty-eight thousand, one hundred sixty".