171386880 has 192 divisors, whose sum is σ = 627419520. Its totient is φ = 39124992.

The previous prime is 171386851. The next prime is 171386893. The reversal of 171386880 is 88683171.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×171386880² = 58746925272268800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214642 + ... + 215438.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^171386880 is an apocalyptic number.

171386880 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 171386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

171386880 is an abundant number, since it is smaller than the sum of its proper divisors (456032640).

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

171386880 is an equidigital number, since it uses as much as digits as its factorization.

171386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 171386880 is about 13091.4811996199. The cubic root of 171386880 is about 555.4681870312.

The spelling of 171386880 in words is "one hundred seventy-one million, three hundred eighty-six thousand, eight hundred eighty".