8213680 has 40 divisors (see below), whose sum is σ = 19342512. Its totient is φ = 3243264.

The previous prime is 8213677. The next prime is 8213693. The reversal of 8213680 is 863128.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6022 + ... + 7258.

Almost surely, 2^8213680 is an apocalyptic number.

8213680 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 8213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671256).

8213680 is an abundant number, since it is smaller than the sum of its proper divisors (11128832).

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

8213680 is a wasteful number, since it uses less digits than its factorization.

8213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8213680 is about 2865.9518488628. The cubic root of 8213680 is about 201.7650439429.

The spelling of 8213680 in words is "eight million, two hundred thirteen thousand, six hundred eighty".