8459996160 has 704 divisors, whose sum is σ = 35315564544. Its totient is φ = 1676083200.

The previous prime is 8459996159. The next prime is 8459996179. The reversal of 8459996160 is 616999548.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 8459996160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27202405 + ... + 27202715.

Almost surely, 2^8459996160 is an apocalyptic number.

8459996160 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 8459996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657782272).

8459996160 is an abundant number, since it is smaller than the sum of its proper divisors (26855568384).

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

8459996160 is a wasteful number, since it uses less digits than its factorization.

8459996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 8459996160 is about 91978.2374260346. The cubic root of 8459996160 is about 2037.6209097330.

The spelling of 8459996160 in words is "eight billion, four hundred fifty-nine million, nine hundred ninety-six thousand, one hundred sixty".