10171968 has 56 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 3279360.

The previous prime is 10171963. The next prime is 10171991. The reversal of 10171968 is 86917101.

It is not an unprimeable number, because it can be changed into a prime (10171963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5098 + ... + 6806.

Almost surely, 2^10171968 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 10171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

10171968 is an abundant number, since it is smaller than the sum of its proper divisors (17625792).

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

10171968 is a wasteful number, since it uses less digits than its factorization.

10171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 10171968 is about 3189.3522853395. The cubic root of 10171968 is about 216.6714360554.

The spelling of 10171968 in words is "ten million, one hundred seventy-one thousand, nine hundred sixty-eight".