6406144 has 60 divisors (see below), whose sum is σ = 14155344. Its totient is φ = 2883584.

The previous prime is 6406123. The next prime is 6406151. The reversal of 6406144 is 4416046.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278517 + ... + 278539.

Almost surely, 2^6406144 is an apocalyptic number.

6406144 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 6406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077672).

6406144 is an abundant number, since it is smaller than the sum of its proper divisors (7749200).

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

6406144 is an equidigital number, since it uses as much as digits as its factorization.

6406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6406144 is about 2531.0361514605. The cubic root of 6406144 is about 185.7229466798.

The spelling of 6406144 in words is "six million, four hundred six thousand, one hundred forty-four".