3968568 has 64 divisors (see below), whose sum is σ = 11616000. Its totient is φ = 1251936.

The previous prime is 3968567. The next prime is 3968597. The reversal of 3968568 is 8658693.

3968568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968567) 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 15 ways as a sum of consecutive naturals, for example, 3621 + ... + 4587.

It is an arithmetic number, because the mean of its divisors is an integer number (181500).

Almost surely, 2^3968568 is an apocalyptic number.

3968568 is a gapful number since it is divisible by the number (38) 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 3968568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808000).

3968568 is an abundant number, since it is smaller than the sum of its proper divisors (7647432).

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

3968568 is a wasteful number, since it uses less digits than its factorization.

3968568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3968568 is about 1992.1265020073. The cubic root of 3968568 is about 158.3232180672.

The spelling of 3968568 in words is "three million, nine hundred sixty-eight thousand, five hundred sixty-eight".