8821680 has 160 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 1959936.

The previous prime is 8821663. The next prime is 8821711. The reversal of 8821680 is 861288.

8821680 = T₆₁ + T₆₂ + ... + T₃₇₅.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99076 + ... + 99164.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^8821680 is an apocalyptic number.

8821680 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 8821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

8821680 is an abundant number, since it is smaller than the sum of its proper divisors (23319120).

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

8821680 is a wasteful number, since it uses less digits than its factorization.

8821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8821680 is about 2970.1313102286. The cubic root of 8821680 is about 206.6254282384.

The spelling of 8821680 in words is "eight million, eight hundred twenty-one thousand, six hundred eighty".