6214144 has 40 divisors (see below), whose sum is σ = 12705660. Its totient is φ = 3035136.

The previous prime is 6214139. The next prime is 6214157. The reversal of 6214144 is 4414126.

It can be written as a sum of positive squares in 2 ways, for example, as 5382400 + 831744 = 2320^2 + 912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27022 + ... + 27250.

Almost surely, 2^6214144 is an apocalyptic number.

6214144 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 6214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352830).

6214144 is an abundant number, since it is smaller than the sum of its proper divisors (6491516).

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

6214144 is an equidigital number, since it uses as much as digits as its factorization.

6214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 6214144 is about 2492.8184851689. The cubic root of 6214144 is about 183.8486468018.

The spelling of 6214144 in words is "six million, two hundred fourteen thousand, one hundred forty-four".