171925920 has 288 divisors, whose sum is σ = 636854400. Its totient is φ = 42104832.

The previous prime is 171925909. The next prime is 171925931. The reversal of 171925920 is 29529171.

It is an interprime number because it is at equal distance from previous prime (171925909) and next prime (171925931).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960391 + ... + 960569.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^171925920 is an apocalyptic number.

171925920 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 171925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

171925920 is an abundant number, since it is smaller than the sum of its proper divisors (464928480).

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

171925920 is a wasteful number, since it uses less digits than its factorization.

171925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 171925920 is about 13112.0524709139. The cubic root of 171925920 is about 556.0499239197.

The spelling of 171925920 in words is "one hundred seventy-one million, nine hundred twenty-five thousand, nine hundred twenty".