171129960 has 192 divisors, whose sum is σ = 593049600. Its totient is φ = 42674688.

The previous prime is 171129953. The next prime is 171129967. The reversal of 171129960 is 69921171.

It is an interprime number because it is at equal distance from previous prime (171129953) and next prime (171129967).

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

It is not an unprimeable number, because it can be changed into a prime (171129967) 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 47 ways as a sum of consecutive naturals, for example, 868582 + ... + 868778.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2^171129960 is an apocalyptic number.

171129960 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 171129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

171129960 is an abundant number, since it is smaller than the sum of its proper divisors (421919640).

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

171129960 is a wasteful number, since it uses less digits than its factorization.

171129960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 171129960 is about 13081.6650316387. The cubic root of 171129960 is about 555.1904873283.

It can be divided in two parts, 17112 and 9960, that added together give a palindrome (27072).

The spelling of 171129960 in words is "one hundred seventy-one million, one hundred twenty-nine thousand, nine hundred sixty".