8920 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 3552.

The previous prime is 8893. The next prime is 8923. The reversal of 8920 is 298.

8920 = 17² + 18² + ... + 31².

It is a plaindrome in base 11 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁸⁹²⁰ is an apocalyptic number.

It is an amenable number.

8920 is an abundant number, since it is smaller than the sum of its proper divisors (11240).

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 (10080).

8920 is a wasteful number, since it uses less digits than its factorization.

8920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8920 is about 94.4457516249. The cubic root of 8920 is about 20.7390225964.

The spelling of 8920 in words is "eight thousand, nine hundred twenty".