171148880 has 80 divisors (see below), whose sum is σ = 458434944. Its totient is φ = 58206720.

The previous prime is 171148871. The next prime is 171148889. The reversal of 171148880 is 88841171.

It is an interprime number because it is at equal distance from previous prime (171148871) and next prime (171148889).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171148889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72194 + ... + 74526.

Almost surely, 2^171148880 is an apocalyptic number.

171148880 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 171148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229217472).

171148880 is an abundant number, since it is smaller than the sum of its proper divisors (287286064).

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

171148880 is a wasteful number, since it uses less digits than its factorization.

171148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 38.

The square root of 171148880 is about 13082.3881611883. The cubic root of 171148880 is about 555.2109470555.

The spelling of 171148880 in words is "one hundred seventy-one million, one hundred forty-eight thousand, eight hundred eighty".