8209680 has 80 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 2156544.

The previous prime is 8209633. The next prime is 8209681. The reversal of 8209680 is 869028.

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 (8209681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18744 + ... + 19176.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^8209680 is an apocalyptic number.

8209680 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 8209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915840).

8209680 is an abundant number, since it is smaller than the sum of its proper divisors (17622000).

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

8209680 is a wasteful number, since it uses less digits than its factorization.

8209680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8209680 is about 2865.2539154497. The cubic root of 8209680 is about 201.7322859415.

The spelling of 8209680 in words is "eight million, two hundred nine thousand, six hundred eighty".