7171968 has 64 divisors (see below), whose sum is σ = 20073600. Its totient is φ = 2262528.

The previous prime is 7171951. The next prime is 7171979. The reversal of 7171968 is 8691717.

7171968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6805 + ... + 7787.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 2^7171968 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 7171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036800).

7171968 is an abundant number, since it is smaller than the sum of its proper divisors (12901632).

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

7171968 is a wasteful number, since it uses less digits than its factorization.

7171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its digits is 21168, while the sum is 39.

The square root of 7171968 is about 2678.0530241203. The cubic root of 7171968 is about 192.8469528616.

The spelling of 7171968 in words is "seven million, one hundred seventy-one thousand, nine hundred sixty-eight".