6435968 has 64 divisors (see below), whose sum is σ = 16009920. Its totient is φ = 2503680.

The previous prime is 6435917. The next prime is 6435973. The reversal of 6435968 is 8695346.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9530 + ... + 10182.

It is an arithmetic number, because the mean of its divisors is an integer number (250155).

Almost surely, 2^6435968 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 6435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004960).

6435968 is an abundant number, since it is smaller than the sum of its proper divisors (9573952).

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

6435968 is a wasteful number, since it uses less digits than its factorization.

6435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 6435968 is about 2536.9209684182. The cubic root of 6435968 is about 186.0107135310.

The spelling of 6435968 in words is "six million, four hundred thirty-five thousand, nine hundred sixty-eight".