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8620 = 225431

8620 has 12 divisors (see below), whose sum is σ = 18144. Its totient is φ = 3440.

The previous prime is 8609. The next prime is 8623. The reversal of 8620 is 268.

8620 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

8620 is strictly pandigital in base 6.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8594 and 8603.

It is not an unprimeable number, because it can be changed into a prime (8623) by changing a digit.

8620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

28620 is an apocalyptic number.

It is an amenable number.

8620 is an abundant number, since it is smaller than the sum of its proper divisors (9524).

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 (9072).

8620 is a wasteful number, since it uses less digits than its factorization.

8620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8620 is about 92.8439551075. The cubic root of 8620 is about 20.5038660169.

Adding to 8620 its reverse (268), we get a palindrome (8888).

The spelling of 8620 in words is "eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 431 862 1724 2155 4310 8620