171200268 has 72 divisors (see below), whose sum is σ = 464143680. Its totient is φ = 53015040.

The previous prime is 171200261. The next prime is 171200287. The reversal of 171200268 is 862002171.

It is not an unprimeable number, because it can be changed into a prime (171200261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46578 + ... + 50118.

It is an arithmetic number, because the mean of its divisors is an integer number (6446440).

Almost surely, 2^171200268 is an apocalyptic number.

171200268 is a gapful number since it is divisible by the number (18) 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 171200268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232071840).

171200268 is an abundant number, since it is smaller than the sum of its proper divisors (292943412).

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

171200268 is a wasteful number, since it uses less digits than its factorization.

171200268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 171200268 is about 13084.3520282817. The cubic root of 171200268 is about 555.2665094507.

The spelling of 171200268 in words is "one hundred seventy-one million, two hundred thousand, two hundred sixty-eight".