4067968 has 32 divisors (see below), whose sum is σ = 8252820. Its totient is φ = 1996800.

The previous prime is 4067963. The next prime is 4067969. The reversal of 4067968 is 8697604.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 652864 = 1848^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4067968.

It is not an unprimeable number, because it can be changed into a prime (4067963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7548 + ... + 8068.

Almost surely, 2^4067968 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 4067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126410).

4067968 is an abundant number, since it is smaller than the sum of its proper divisors (4184852).

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

4067968 is an equidigital number, since it uses as much as digits as its factorization.

4067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 4067968 is about 2016.9204248061. The cubic root of 4067968 is about 159.6341641634.

The spelling of 4067968 in words is "four million, sixty-seven thousand, nine hundred sixty-eight".