6312144 has 40 divisors (see below), whose sum is σ = 16472160. Its totient is φ = 2082688.

The previous prime is 6312139. The next prime is 6312157. The reversal of 6312144 is 4412136.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6312144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4522 + ... + 5750.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 2^6312144 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 6312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236080).

6312144 is an abundant number, since it is smaller than the sum of its proper divisors (10160016).

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

6312144 is a wasteful number, since it uses less digits than its factorization.

6312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 6312144 is about 2512.3980576334. The cubic root of 6312144 is about 184.8100704769.

It can be divided in two parts, 631 and 2144, that added together give a triangular number (2775 = T₇₄).

The spelling of 6312144 in words is "six million, three hundred twelve thousand, one hundred forty-four".