171352896 has 168 divisors, whose sum is σ = 539459424. Its totient is φ = 47324160.

The previous prime is 171352879. The next prime is 171352901. The reversal of 171352896 is 698253171.

Its product of digits (90720) is a multiple of the sum of its prime divisors (108).

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 23 ways as a sum of consecutive naturals, for example, 2168985 + ... + 2169063.

It is an arithmetic number, because the mean of its divisors is an integer number (3211068).

Almost surely, 2^171352896 is an apocalyptic number.

171352896 is a gapful number since it is divisible by the number (16) 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 171352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269729712).

171352896 is an abundant number, since it is smaller than the sum of its proper divisors (368106528).

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

171352896 is a wasteful number, since it uses less digits than its factorization.

171352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 108 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 171352896 is about 13090.1831919954. The cubic root of 171352896 is about 555.4314703376.

The spelling of 171352896 in words is "one hundred seventy-one million, three hundred fifty-two thousand, eight hundred ninety-six".