6435744 has 96 divisors (see below), whose sum is σ = 19748736. Its totient is φ = 1797120.

The previous prime is 6435739. The next prime is 6435763. The reversal of 6435744 is 4475346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40914 + ... + 41070.

It is an arithmetic number, because the mean of its divisors is an integer number (205716).

Almost surely, 2^6435744 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 6435744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874368).

6435744 is an abundant number, since it is smaller than the sum of its proper divisors (13312992).

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

6435744 is a wasteful number, since it uses less digits than its factorization.

6435744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 6435744 is about 2536.8768200289. The cubic root of 6435744 is about 186.0085555089.

The spelling of 6435744 in words is "six million, four hundred thirty-five thousand, seven hundred forty-four".