171970560 has 208 divisors, whose sum is σ = 613342080. Its totient is φ = 45711360.

The previous prime is 171970541. The next prime is 171970567. The reversal of 171970560 is 65079171.

171970560 is a `hidden beast` number, since 1 + 7 + 1 + 97 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (171970567) 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, 552805 + ... + 553115.

It is an arithmetic number, because the mean of its divisors is an integer number (2948760).

Almost surely, 2^171970560 is an apocalyptic number.

171970560 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 171970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306671040).

171970560 is an abundant number, since it is smaller than the sum of its proper divisors (441371520).

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

171970560 is an equidigital number, since it uses as much as digits as its factorization.

171970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 171970560 is about 13113.7546110944. The cubic root of 171970560 is about 556.0980452668.

The spelling of 171970560 in words is "one hundred seventy-one million, nine hundred seventy thousand, five hundred sixty".