171088320 has 112 divisors (see below), whose sum is σ = 585033120. Its totient is φ = 42110976.

The previous prime is 171088303. The next prime is 171088339. The reversal of 171088320 is 23880171.

It is a happy number.

171088320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 19334.

It is an arithmetic number, because the mean of its divisors is an integer number (5223510).

Almost surely, 2^171088320 is an apocalyptic number.

171088320 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 171088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292516560).

171088320 is an abundant number, since it is smaller than the sum of its proper divisors (413944800).

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

171088320 is a wasteful number, since it uses less digits than its factorization.

171088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 171088320 is about 13080.0733942895. The cubic root of 171088320 is about 555.1454533139.

The spelling of 171088320 in words is "one hundred seventy-one million, eighty-eight thousand, three hundred twenty".