680088880086 has 128 divisors (see below), whose sum is σ = 1728654068736. Its totient is φ = 173228090880.

The previous prime is 680088880061. The next prime is 680088880087.

680088880086 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680088880087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60646216 + ... + 60657428.

It is an arithmetic number, because the mean of its divisors is an integer number (13505109912).

Almost surely, 2^680088880086 is an apocalyptic number.

680088880086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 680088880086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864327034368).

680088880086 is an abundant number, since it is smaller than the sum of its proper divisors (1048565188650).

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

680088880086 is a wasteful number, since it uses less digits than its factorization.

680088880086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766.

The product of its (nonzero) digits is 9437184, while the sum is 60.

The spelling of 680088880086 in words is "six hundred eighty billion, eighty-eight million, eight hundred eighty thousand, eighty-six".