170880 has 64 divisors (see below), whose sum is σ = 550800. Its totient is φ = 45056.

The previous prime is 170873. The next prime is 170881. The reversal of 170880 is 88071.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 170880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170881) by changing a digit.

170880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1876 + ... + 1964.

2¹⁷⁰⁸⁸⁰ is an apocalyptic number.

170880 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 170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275400).

170880 is an abundant number, since it is smaller than the sum of its proper divisors (379920).

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

170880 is an equidigital number, since it uses as much as digits as its factorization.

170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 170880 is about 413.3763418484. The cubic root of 170880 is about 55.4920043672.

The spelling of 170880 in words is "one hundred seventy thousand, eight hundred eighty".