171881280 has 168 divisors, whose sum is σ = 607554792. Its totient is φ = 44568576.

The previous prime is 171881261. The next prime is 171881287. The reversal of 171881280 is 82188171.

171881280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 115089984 = 7536^2 + 10728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171881287) 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 23 ways as a sum of consecutive naturals, for example, 105754 + ... + 107366.

Almost surely, 2^171881280 is an apocalyptic number.

171881280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303777396).

171881280 is an abundant number, since it is smaller than the sum of its proper divisors (435673512).

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

171881280 is a wasteful number, since it uses less digits than its factorization.

171881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 171881280 is about 13110.3501097415. The cubic root of 171881280 is about 556.0017942423.

The spelling of 171881280 in words is "one hundred seventy-one million, eight hundred eighty-one thousand, two hundred eighty".