171146864 has 120 divisors (see below), whose sum is σ = 414735360. Its totient is φ = 66882816.

The previous prime is 171146863. The next prime is 171146869. The reversal of 171146864 is 468641171.

It is a super-3 number, since 3×171146864³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171146861) 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, 2166377 + ... + 2166455.

It is an arithmetic number, because the mean of its divisors is an integer number (3456128).

Almost surely, 2^171146864 is an apocalyptic number.

171146864 is a gapful number since it is divisible by the number (14) 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 171146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207367680).

171146864 is an abundant number, since it is smaller than the sum of its proper divisors (243588496).

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

171146864 is a wasteful number, since it uses less digits than its factorization.

171146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 171146864 is about 13082.3111108091. The cubic root of 171146864 is about 555.2087670633.

The spelling of 171146864 in words is "one hundred seventy-one million, one hundred forty-six thousand, eight hundred sixty-four".