6564160 has 56 divisors (see below), whose sum is σ = 15901416. Its totient is φ = 2580480.

The previous prime is 6564143. The next prime is 6564167. The reversal of 6564160 is 614656.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 5345344 = 1104^2 + 2312^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564167) 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 7 ways as a sum of consecutive naturals, for example, 23220 + ... + 23500.

Almost surely, 2^6564160 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 6564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950708).

6564160 is an abundant number, since it is smaller than the sum of its proper divisors (9337256).

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

6564160 is a wasteful number, since it uses less digits than its factorization.

6564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6564160 is about 2562.0616698276. The cubic root of 6564160 is about 187.2375944171.

It can be divided in two parts, 6564 and 160, that added together give a square (6724 = 82²).

The spelling of 6564160 in words is "six million, five hundred sixty-four thousand, one hundred sixty".