8081680960 has 56 divisors (see below), whose sum is σ = 19271528640. Its totient is φ = 3228132864.

The previous prime is 8081680939. The next prime is 8081680979. The reversal of 8081680960 is 690861808.

It is a self number, because there is not a number n which added to its sum of digits gives 8081680960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215271 + ... + 250009.

It is an arithmetic number, because the mean of its divisors is an integer number (344134440).

Almost surely, 2^8081680960 is an apocalyptic number.

8081680960 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 8081680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635764320).

8081680960 is an abundant number, since it is smaller than the sum of its proper divisors (11189847680).

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

8081680960 is a wasteful number, since it uses less digits than its factorization.

8081680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35483 (or 35473 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 8081680960 is about 89898.1699480028. The cubic root of 8081680960 is about 2006.7837112825.

The spelling of 8081680960 in words is "eight billion, eighty-one million, six hundred eighty thousand, nine hundred sixty".