8681680 has 80 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 2889216.

The previous prime is 8681669. The next prime is 8681693. The reversal of 8681680 is 861868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20511 + ... + 20929.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^8681680 is an apocalyptic number.

8681680 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 8681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

8681680 is an abundant number, since it is smaller than the sum of its proper divisors (15066800).

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

8681680 is a wasteful number, since it uses less digits than its factorization.

8681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8681680 is about 2946.4690733147. The cubic root of 8681680 is about 205.5265464568.

The spelling of 8681680 in words is "eight million, six hundred eighty-one thousand, six hundred eighty".