171742368 has 96 divisors (see below), whose sum is σ = 542384640. Its totient is φ = 46483200.

The previous prime is 171742367. The next prime is 171742409. The reversal of 171742368 is 863247171.

171742368 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 (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (171742367) by changing a digit.

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, 6043 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (5649840).

Almost surely, 2^171742368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271192320).

171742368 is an abundant number, since it is smaller than the sum of its proper divisors (370642272).

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

171742368 is a wasteful number, since it uses less digits than its factorization.

171742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490 (or 13482 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 171742368 is about 13105.0512398846. The cubic root of 171742368 is about 555.8519696319.

The spelling of 171742368 in words is "one hundred seventy-one million, seven hundred forty-two thousand, three hundred sixty-eight".