6314144 has 36 divisors (see below), whose sum is σ = 13029786. Its totient is φ = 3011712.

The previous prime is 6314129. The next prime is 6314183. The reversal of 6314144 is 4414136.

It can be written as a sum of positive squares in only one way, i.e., 5290000 + 1024144 = 2300^2 + 1012^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

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 5 ways as a sum of consecutive naturals, for example, 16742 + ... + 17114.

Almost surely, 2^6314144 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 6314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514893).

6314144 is an abundant number, since it is smaller than the sum of its proper divisors (6715642).

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

6314144 is a wasteful number, since it uses less digits than its factorization.

6314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 398 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 6314144 is about 2512.7960522096. The cubic root of 6314144 is about 184.8295874117.

The spelling of 6314144 in words is "six million, three hundred fourteen thousand, one hundred forty-four".