171028080 has 120 divisors (see below), whose sum is σ = 594247680. Its totient is φ = 44029440.

The previous prime is 171028049. The next prime is 171028087. The reversal of 171028080 is 80820171.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171028087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16785 + ... + 24975.

It is an arithmetic number, because the mean of its divisors is an integer number (4952064).

Almost surely, 2^171028080 is an apocalyptic number.

171028080 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 171028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

171028080 is an abundant number, since it is smaller than the sum of its proper divisors (423219600).

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

171028080 is a wasteful number, since it uses less digits than its factorization.

171028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 171028080 is about 13077.7704521834. The cubic root of 171028080 is about 555.0802903076.

The spelling of 171028080 in words is "one hundred seventy-one million, twenty-eight thousand, eighty".