171147680 has 96 divisors (see below), whose sum is σ = 450696960. Its totient is φ = 60881920.

The previous prime is 171147679. The next prime is 171147703. The reversal of 171147680 is 86741171.

It is a self number, because there is not a number n which added to its sum of digits gives 171147680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81686 + ... + 83754.

It is an arithmetic number, because the mean of its divisors is an integer number (4694760).

Almost surely, 2^171147680 is an apocalyptic number.

171147680 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 171147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225348480).

171147680 is an abundant number, since it is smaller than the sum of its proper divisors (279549280).

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

171147680 is a wasteful number, since it uses less digits than its factorization.

171147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 171147680 is about 13082.3422979220. The cubic root of 171147680 is about 555.2096494432.

The spelling of 171147680 in words is "one hundred seventy-one million, one hundred forty-seven thousand, six hundred eighty".