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8820 = 2232572

8820 has 54 divisors (see below), whose sum is σ = 31122. Its totient is φ = 2016.

The previous prime is 8819. The next prime is 8821. The reversal of 8820 is 288.

It can be divided in two parts, 8 and 820, that added together give a palindrome (828).

It is an interprime number because it is at equal distance from previous prime (8819) and next prime (8821).

It can be written as a sum of positive squares in only one way, i.e., 7056 + 1764 = 84^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 14.

It is a zygodrome in base 3, base 11 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 8793 and 8802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8820.

It is not an unprimeable number, because it can be changed into a prime (8821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1257 + ... + 1263.

28820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561).

8820 is an abundant number, since it is smaller than the sum of its proper divisors (22302).

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

8820 is a wasteful number, since it uses less digits than its factorization.

8820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8820 is about 93.9148550550. The cubic root of 8820 is about 20.6612310829.

The spelling of 8820 in words is "eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820