6410144 has 48 divisors (see below), whose sum is σ = 14323680. Its totient is φ = 2799360.

The previous prime is 6410137. The next prime is 6410147. The reversal of 6410144 is 4410146.

It is a happy number.

It is a super-2 number, since 2×6410144² = 82179892201472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6410147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7499 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (298410).

Almost surely, 2^6410144 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 6410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161840).

6410144 is an abundant number, since it is smaller than the sum of its proper divisors (7913536).

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

6410144 is a wasteful number, since it uses less digits than its factorization.

6410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6410144 is about 2531.8262183649. The cubic root of 6410144 is about 185.7615938087.

The spelling of 6410144 in words is "six million, four hundred ten thousand, one hundred forty-four".