8711680 has 80 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 3358720.

The previous prime is 8711669. The next prime is 8711683. The reversal of 8711680 is 861178.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8711683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104919 + ... + 105001.

Almost surely, 2^8711680 is an apocalyptic number.

8711680 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 8711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432).

8711680 is an abundant number, since it is smaller than the sum of its proper divisors (12943184).

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

8711680 is an equidigital number, since it uses as much as digits as its factorization.

8711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 8711680 is about 2951.5555220934. Note that the first 4 decimals coincide. The cubic root of 8711680 is about 205.7630102103.

The spelling of 8711680 in words is "eight million, seven hundred eleven thousand, six hundred eighty".