8160085680 has 160 divisors (see below), whose sum is σ = 27438118848. Its totient is φ = 1998028800.

The previous prime is 8160085669. The next prime is 8160085723. The reversal of 8160085680 is 865800618.

8160085680 is a modest number, since divided by 85680 gives 8160 as remainder.

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, 142890 + ... + 191670.

Almost surely, 2^8160085680 is an apocalyptic number.

8160085680 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 8160085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719059424).

8160085680 is an abundant number, since it is smaller than the sum of its proper divisors (19278033168).

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

8160085680 is a wasteful number, since it uses less digits than its factorization.

8160085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48855 (or 48849 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 8160085680 is about 90333.1925706160. The cubic root of 8160085680 is about 2013.2524654545.

The spelling of 8160085680 in words is "eight billion, one hundred sixty million, eighty-five thousand, six hundred eighty".