8086681680 has 360 divisors, whose sum is σ = 32059260576. Its totient is φ = 1680053760.

The previous prime is 8086681667. The next prime is 8086681717. The reversal of 8086681680 is 861866808.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1420119 + ... + 1425801.

Almost surely, 2^8086681680 is an apocalyptic number.

8086681680 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 8086681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029630288).

8086681680 is an abundant number, since it is smaller than the sum of its proper divisors (23972578896).

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

8086681680 is a wasteful number, since it uses less digits than its factorization.

8086681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 8086681680 is about 89925.9788937546. The cubic root of 8086681680 is about 2007.1975399704.

The spelling of 8086681680 in words is "eight billion, eighty-six million, six hundred eighty-one thousand, six hundred eighty".