6144288 has 48 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1976576.

The previous prime is 6144283. The next prime is 6144311. The reversal of 6144288 is 8824416.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6144283) 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, 1681 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 2^6144288 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 6144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

6144288 is an abundant number, since it is smaller than the sum of its proper divisors (10548192).

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

6144288 is a wasteful number, since it uses less digits than its factorization.

6144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2241 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 6144288 is about 2478.7674356422. The cubic root of 6144288 is about 183.1571405494.

The spelling of 6144288 in words is "six million, one hundred forty-four thousand, two hundred eighty-eight".