6570 has 24 divisors (see below), whose sum is σ = 17316. Its totient is φ = 1728.

The previous prime is 6569. The next prime is 6571. The reversal of 6570 is 756.

It is an interprime number because it is at equal distance from previous prime (6569) and next prime (6571).

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 9 = 81^2 + 3^2 .

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (6571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 126.

2⁶⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658).

6570 is an abundant number, since it is smaller than the sum of its proper divisors (10746).

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

6570 is a wasteful number, since it uses less digits than its factorization.

6570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 6570 is about 81.0555365166. The cubic root of 6570 is about 18.7293105121.

It can be divided in two parts, 6 and 570, that added together give a square (576 = 24²).

The spelling of 6570 in words is "six thousand, five hundred seventy".