171939968 has 72 divisors (see below), whose sum is σ = 367537365. Its totient is φ = 80110080.

The previous prime is 171939967. The next prime is 171939991. The reversal of 171939968 is 869939171.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 116467264 + 55472704 = 10792^2 + 7448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9272.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171939961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2818658 + ... + 2818718.

Almost surely, 2^171939968 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 171939968

171939968 is an abundant number, since it is smaller than the sum of its proper divisors (195597397).

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

171939968 is an frugal number, since it uses more digits than its factorization.

171939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 82 counting only the distinct ones).

The product of its digits is 734832, while the sum is 53.

The square root of 171939968 is about 13112.5881503233. The cubic root of 171939968 is about 556.0650683815.

The spelling of 171939968 in words is "one hundred seventy-one million, nine hundred thirty-nine thousand, nine hundred sixty-eight".