6566144 has 36 divisors (see below), whose sum is σ = 14121996. Its totient is φ = 3028992.

The previous prime is 6566089. The next prime is 6566171. The reversal of 6566144 is 4416656.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 5382400 = 1088^2 + 2320^2 .

It is a super-2 number, since 2×6566144² = 86228494057472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 6566144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2342 + ... + 4314.

Almost surely, 2^6566144 is an apocalyptic number.

6566144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060998).

6566144 is an abundant number, since it is smaller than the sum of its proper divisors (7555852).

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

6566144 is a wasteful number, since it uses less digits than its factorization.

6566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1988 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 6566144 is about 2562.4488287574. The cubic root of 6566144 is about 187.2564565395.

The spelling of 6566144 in words is "six million, five hundred sixty-six thousand, one hundred forty-four".