6486144 has 128 divisors (see below), whose sum is σ = 20889600. Its totient is φ = 1741824.

The previous prime is 6486143. The next prime is 6486149. The reversal of 6486144 is 4416846.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6486143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51009 + ... + 51135.

It is an arithmetic number, because the mean of its divisors is an integer number (163200).

Almost surely, 2^6486144 is an apocalyptic number.

6486144 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 6486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444800).

6486144 is an abundant number, since it is smaller than the sum of its proper divisors (14403456).

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

6486144 is a wasteful number, since it uses less digits than its factorization.

6486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 6486144 is about 2546.7909219251. The cubic root of 6486144 is about 186.4928540796.

The spelling of 6486144 in words is "six million, four hundred eighty-six thousand, one hundred forty-four".