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8660 = 225433
BaseRepresentation
bin10000111010100
3102212202
42013110
5234120
6104032
734151
oct20724
912782
108660
116563
125018
133c32
143228
152875
hex21d4

8660 has 12 divisors (see below), whose sum is σ = 18228. Its totient is φ = 3456.

The previous prime is 8647. The next prime is 8663. The reversal of 8660 is 668.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 6724 = 44^2 + 82^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 433 = 8660 / (8 + 6 + 6 + 0).

It is a nialpdrome in base 10.

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 8660.

It is not an unprimeable number, because it can be changed into a prime (8663) 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, 197 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

28660 is an apocalyptic number.

It is an amenable number.

8660 is an abundant number, since it is smaller than the sum of its proper divisors (9568).

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 (9114).

8660 is a wasteful number, since it uses less digits than its factorization.

8660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 8660 is about 93.0591209931. The cubic root of 8660 is about 20.5355322695.

The spelling of 8660 in words is "eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 433 866 1732 2165 4330 8660