171250560 has 192 divisors, whose sum is σ = 637116480. Its totient is φ = 42135552.

The previous prime is 171250549. The next prime is 171250567. The reversal of 171250560 is 65052171.

171250560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×171250560³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171250567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73737 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (3318315).

Almost surely, 2^171250560 is an apocalyptic number.

171250560 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 171250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318558240).

171250560 is an abundant number, since it is smaller than the sum of its proper divisors (465865920).

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

171250560 is a wasteful number, since it uses less digits than its factorization.

171250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 171250560 is about 13086.2737247851. The cubic root of 171250560 is about 555.3208760503.

The spelling of 171250560 in words is "one hundred seventy-one million, two hundred fifty thousand, five hundred sixty".