171768864 has 48 divisors (see below), whose sum is σ = 452178720. Its totient is φ = 57093120.

The previous prime is 171768859. The next prime is 171768869. The reversal of 171768864 is 468867171.

It is an interprime number because it is at equal distance from previous prime (171768859) and next prime (171768869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (171768869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34024 + ... + 38744.

It is an arithmetic number, because the mean of its divisors is an integer number (9420390).

Almost surely, 2^171768864 is an apocalyptic number.

It is an amenable number.

171768864 is an abundant number, since it is smaller than the sum of its proper divisors (280409856).

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

171768864 is a wasteful number, since it uses less digits than its factorization.

171768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5105 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 171768864 is about 13106.0621088106. The cubic root of 171768864 is about 555.8805533309.

The spelling of 171768864 in words is "one hundred seventy-one million, seven hundred sixty-eight thousand, eight hundred sixty-four".