6534144 has 66 divisors (see below), whose sum is σ = 18893810. Its totient is φ = 2174976.

The previous prime is 6534133. The next prime is 6534173. The reversal of 6534144 is 4414356.

6534144 is a `hidden beast` number, since 653 + 4 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 2073600 = 2112^2 + 1440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8862 + ... + 9570.

Almost surely, 2^6534144 is an apocalyptic number.

6534144 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 6534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446905).

6534144 is an abundant number, since it is smaller than the sum of its proper divisors (12359666).

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

6534144 is a wasteful number, since it uses less digits than its factorization.

6534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 714 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 6534144 is about 2556.1971754933. The cubic root of 6534144 is about 186.9517638939.

The spelling of 6534144 in words is "six million, five hundred thirty-four thousand, one hundred forty-four".