171988560 has 120 divisors (see below), whose sum is σ = 597584520. Its totient is φ = 44276736.

The previous prime is 171988559. The next prime is 171988561. The reversal of 171988560 is 65889171.

171988560 is a `hidden beast` number, since 1 + 7 + 1 + 9 + 88 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (171988559) and next prime (171988561).

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 145733184 = 5124^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171988561) 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, 16762 + ... + 24998.

It is an arithmetic number, because the mean of its divisors is an integer number (4979871).

Almost surely, 2^171988560 is an apocalyptic number.

171988560 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 171988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298792260).

171988560 is an abundant number, since it is smaller than the sum of its proper divisors (425595960).

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

171988560 is a wasteful number, since it uses less digits than its factorization.

171988560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 171988560 is about 13114.4408954404. The cubic root of 171988560 is about 556.1174466798.

The spelling of 171988560 in words is "one hundred seventy-one million, nine hundred eighty-eight thousand, five hundred sixty".