171291120 has 640 divisors, whose sum is σ = 767950848. Its totient is φ = 30412800.

The previous prime is 171291119. The next prime is 171291149. The reversal of 171291120 is 21192171.

171291120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5525505 + ... + 5525535.

Almost surely, 2^171291120 is an apocalyptic number.

171291120 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 171291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

171291120 is an abundant number, since it is smaller than the sum of its proper divisors (596659728).

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

171291120 is a wasteful number, since it uses less digits than its factorization.

171291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 171291120 is about 13087.8233484411. The cubic root of 171291120 is about 555.3647144213.

The spelling of 171291120 in words is "one hundred seventy-one million, two hundred ninety-one thousand, one hundred twenty".