171490960 has 80 divisors (see below), whose sum is σ = 422294400. Its totient is φ = 64585728.

The previous prime is 171490939. The next prime is 171490961. The reversal of 171490960 is 69094171.

171490960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (171490961) 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 15 ways as a sum of consecutive naturals, for example, 390421 + ... + 390859.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2^171490960 is an apocalyptic number.

171490960 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 171490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211147200).

171490960 is an abundant number, since it is smaller than the sum of its proper divisors (250803440).

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

171490960 is a wasteful number, since it uses less digits than its factorization.

171490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 171490960 is about 13095.4557003565. The cubic root of 171490960 is about 555.5806060408.

The spelling of 171490960 in words is "one hundred seventy-one million, four hundred ninety thousand, nine hundred sixty".