8980 has 12 divisors (see below), whose sum is σ = 18900.
Its totient is φ = 3584.
The previous prime is 8971. The next prime is 8999. The reversal of 8980 is 898.
8980 = T65 + T66 + ... +
8980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 4624 = 66^2 + 68^2
8980 is strictly pandigital in base 6.
It is a congruent number.
It is an unprimeable number.
8980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 244.
It is an arithmetic number, because the mean of its divisors is an integer number (1575).
28980 is an apocalyptic number.
It is an amenable number.
8980 is an abundant number, since it is smaller than the sum of its proper divisors (9920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450).
8980 is a wasteful number, since it uses less digits than its factorization.
8980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 458 (or 456 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 25.
The square root of 8980 is about 94.7628619239.
The cubic root of 8980 is about 20.7854187747.
It can be divided in two parts, 89 and 80, that added together give a square (169 = 132).
The spelling of 8980 in words is "eight thousand, nine hundred eighty".