7643968 has 28 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 3773312.

The previous prime is 7643959. The next prime is 7643969. The reversal of 7643968 is 8693467.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643969) 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, 4593 + ... + 6031.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^7643968 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 7643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

7643968 is an abundant number, since it is smaller than the sum of its proper divisors (7717952).

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

7643968 is a wasteful number, since it uses less digits than its factorization.

7643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1524 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 7643968 is about 2764.7726850503. The cubic root of 7643968 is about 196.9879316132.

It can be divided in two parts, 76 and 43968, that added together give a palindrome (44044).

The spelling of 7643968 in words is "seven million, six hundred forty-three thousand, nine hundred sixty-eight".