6320144 has 40 divisors (see below), whose sum is σ = 12956760. Its totient is φ = 2981888.

The previous prime is 6320131. The next prime is 6320159. The reversal of 6320144 is 4410236.

It is a happy number.

6320144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 2755600 = 1888^2 + 1660^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24464 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (323919).

Almost surely, 2^6320144 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 6320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478380).

6320144 is an abundant number, since it is smaller than the sum of its proper divisors (6636616).

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

6320144 is a wasteful number, since it uses less digits than its factorization.

6320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6320144 is about 2513.9896578944. The cubic root of 6320144 is about 184.8881134997. Note that the first 3 decimals are identical.

The spelling of 6320144 in words is "six million, three hundred twenty thousand, one hundred forty-four".