8670 has 24 divisors (see below), whose sum is σ = 22104. Its totient is φ = 2176.

The previous prime is 8669. The next prime is 8677. The reversal of 8670 is 768.

8670 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

8670 is an undulating number in base 13.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (921).

2⁸⁶⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052).

8670 is an abundant number, since it is smaller than the sum of its proper divisors (13434).

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

8670 is a wasteful number, since it uses less digits than its factorization.

8670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8670 is about 93.1128347759. The cubic root of 8670 is about 20.5434335909.

Subtracting from 8670 its sum of digits (21), we obtain a square (8649 = 93²).

The spelling of 8670 in words is "eight thousand, six hundred seventy".