171308864 has 56 divisors (see below), whose sum is σ = 378927360. Its totient is φ = 76363776.

The previous prime is 171308849. The next prime is 171308867. The reversal of 171308864 is 468803171.

171308864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×171308864³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171308867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16529 + ... + 24815.

It is an arithmetic number, because the mean of its divisors is an integer number (6766560).

Almost surely, 2^171308864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189463680).

171308864 is an abundant number, since it is smaller than the sum of its proper divisors (207618496).

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

171308864 is a wasteful number, since it uses less digits than its factorization.

171308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8325 counting only the distinct ones).

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

The square root of 171308864 is about 13088.5012128968. The cubic root of 171308864 is about 555.3838904518.

The spelling of 171308864 in words is "one hundred seventy-one million, three hundred eight thousand, eight hundred sixty-four".