6568144 has 40 divisors (see below), whose sum is σ = 14115168. Its totient is φ = 2935680.

The previous prime is 6568141. The next prime is 6568151. The reversal of 6568144 is 4418656.

It is a super-4 number, since 4×6568144⁴ (a number of 28 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (34) 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 (6568141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11514 + ... + 12070.

Almost surely, 2^6568144 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 6568144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057584).

6568144 is an abundant number, since it is smaller than the sum of its proper divisors (7547024).

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

6568144 is a wasteful number, since it uses less digits than its factorization.

6568144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 6568144 is about 2562.8390507404. The cubic root of 6568144 is about 187.2754669305.

The spelling of 6568144 in words is "six million, five hundred sixty-eight thousand, one hundred forty-four".