171601920 has 468 divisors, whose sum is σ = 728343720. Its totient is φ = 37158912.

The previous prime is 171601889. The next prime is 171601921. The reversal of 171601920 is 29106171.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171601921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031671 + ... + 9031689.

It is an arithmetic number, because the mean of its divisors is an integer number (1556290).

Almost surely, 2^171601920 is an apocalyptic number.

171601920 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 171601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364171860).

171601920 is an abundant number, since it is smaller than the sum of its proper divisors (556741800).

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

171601920 is a wasteful number, since it uses less digits than its factorization.

171601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 171601920 is about 13099.6915994232. The cubic root of 171601920 is about 555.7004062000.

The spelling of 171601920 in words is "one hundred seventy-one million, six hundred one thousand, nine hundred twenty".