171006080 has 256 divisors, whose sum is σ = 514080000. Its totient is φ = 54190080.

The previous prime is 171006079. The next prime is 171006083. The reversal of 171006080 is 80600171.

It is not an unprimeable number, because it can be changed into a prime (171006083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4170860 + ... + 4170900.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^171006080 is an apocalyptic number.

171006080 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 171006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

171006080 is an abundant number, since it is smaller than the sum of its proper divisors (343073920).

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

171006080 is an equidigital number, since it uses as much as digits as its factorization.

171006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 171006080 is about 13076.9293031659. The cubic root of 171006080 is about 555.0564885825.

The spelling of 171006080 in words is "one hundred seventy-one million, six thousand, eighty".