171988992 has 288 divisors, whose sum is σ = 599639040. Its totient is φ = 46448640.

The previous prime is 171988981. The next prime is 171989011. The reversal of 171988992 is 299889171.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999723 + ... + 3999765.

It is an arithmetic number, because the mean of its divisors is an integer number (2082080).

Almost surely, 2^171988992 is an apocalyptic number.

171988992 is a gapful number since it is divisible by the number (12) 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 171988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299819520).

171988992 is an abundant number, since it is smaller than the sum of its proper divisors (427650048).

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

171988992 is a wasteful number, since it uses less digits than its factorization.

171988992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 171988992 is about 13114.4573658234. The cubic root of 171988992 is about 556.1179122971.

The spelling of 171988992 in words is "one hundred seventy-one million, nine hundred eighty-eight thousand, nine hundred ninety-two".