171205160 has 64 divisors (see below), whose sum is σ = 441400320. Its totient is φ = 58544640.

The previous prime is 171205129. The next prime is 171205163. The reversal of 171205160 is 61502171.

It is a super-2 number, since 2×171205160² = 58622413621251200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (171205163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172265 + ... + 173255.

It is an arithmetic number, because the mean of its divisors is an integer number (6896880).

Almost surely, 2^171205160 is an apocalyptic number.

171205160 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 171205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220700160).

171205160 is an abundant number, since it is smaller than the sum of its proper divisors (270195160).

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

171205160 is a wasteful number, since it uses less digits than its factorization.

171205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 171205160 is about 13084.5389678047. The cubic root of 171205160 is about 555.2717982623.

The spelling of 171205160 in words is "one hundred seventy-one million, two hundred five thousand, one hundred sixty".