171048960 has 216 divisors, whose sum is σ = 613414620. Its totient is φ = 44040192.

The previous prime is 171048947. The next prime is 171048961. The reversal of 171048960 is 69840171.

171048960 is a `hidden beast` number, since 171 + 0 + 489 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 589824 = 13056^2 + 768^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (171048961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898226 + ... + 5898254.

Almost surely, 2^171048960 is an apocalyptic number.

171048960 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 171048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306707310).

171048960 is an abundant number, since it is smaller than the sum of its proper divisors (442365660).

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

171048960 is an frugal number, since it uses more digits than its factorization.

171048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 171048960 is about 13078.5687290315. The cubic root of 171048960 is about 555.1028784207.

The spelling of 171048960 in words is "one hundred seventy-one million, forty-eight thousand, nine hundred sixty".