171668672 has 56 divisors (see below), whose sum is σ = 392301984. Its totient is φ = 73009152.

The previous prime is 171668671. The next prime is 171668677. The reversal of 171668672 is 276866171.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (171668671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59978 + ... + 62774.

Almost surely, 2^171668672 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 171668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196150992).

171668672 is an abundant number, since it is smaller than the sum of its proper divisors (220633312).

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

171668672 is a wasteful number, since it uses less digits than its factorization.

171668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2943 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 171668672 is about 13102.2391979386. The cubic root of 171668672 is about 555.7724514405.

The spelling of 171668672 in words is "one hundred seventy-one million, six hundred sixty-eight thousand, six hundred seventy-two".