171224560 has 80 divisors (see below), whose sum is σ = 435909600. Its totient is φ = 62161920.

The previous prime is 171224551. The next prime is 171224579. The reversal of 171224560 is 65422171.

171224560 is digitally balanced in base 2, 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 (80).

It is a congruent number.

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, 62091 + ... + 64789.

It is an arithmetic number, because the mean of its divisors is an integer number (5448870).

Almost surely, 2^171224560 is an apocalyptic number.

171224560 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 171224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217954800).

171224560 is an abundant number, since it is smaller than the sum of its proper divisors (264685040).

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

171224560 is a wasteful number, since it uses less digits than its factorization.

171224560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 171224560 is about 13085.2802797647. The cubic root of 171224560 is about 555.2927708896.

The spelling of 171224560 in words is "one hundred seventy-one million, two hundred twenty-four thousand, five hundred sixty".