171540864 has 96 divisors (see below), whose sum is σ = 538541640. Its totient is φ = 51978240.

The previous prime is 171540847. The next prime is 171540871. The reversal of 171540864 is 468045171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5904 + ... + 19440.

Almost surely, 2^171540864 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 171540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269270820).

171540864 is an abundant number, since it is smaller than the sum of its proper divisors (367000776).

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

171540864 is a wasteful number, since it uses less digits than its factorization.

171540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13553 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 171540864 is about 13097.3609555513. The cubic root of 171540864 is about 555.6344922740.

The spelling of 171540864 in words is "one hundred seventy-one million, five hundred forty thousand, eight hundred sixty-four".