171487680 has 336 divisors, whose sum is σ = 678265344. Its totient is φ = 35942400.

The previous prime is 171487651. The next prime is 171487681. The reversal of 171487680 is 86784171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171487681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135605 + ... + 1135755.

Almost surely, 2^171487680 is an apocalyptic number.

171487680 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 171487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339132672).

171487680 is an abundant number, since it is smaller than the sum of its proper divisors (506777664).

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

171487680 is a wasteful number, since it uses less digits than its factorization.

171487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 171487680 is about 13095.3304654751. The cubic root of 171487680 is about 555.5770639377.

The spelling of 171487680 in words is "one hundred seventy-one million, four hundred eighty-seven thousand, six hundred eighty".