178560 has 96 divisors (see below), whose sum is σ = 636480. Its totient is φ = 46080.

The previous prime is 178559. The next prime is 178561. The reversal of 178560 is 65871.

It is an interprime number because it is at equal distance from previous prime (178559) and next prime (178561).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (178561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5745 + ... + 5775.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

178560 is a Friedman number, since it can be written as (80*(5^6-1))/7, using all its digits and the basic arithmetic operations.

2¹⁷⁸⁵⁶⁰ is an apocalyptic number.

178560 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 178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240).

178560 is an abundant number, since it is smaller than the sum of its proper divisors (457920).

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

178560 is a wasteful number, since it uses less digits than its factorization.

178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 178560 is about 422.5636046798. The cubic root of 178560 is about 56.3111926655.

The spelling of 178560 in words is "one hundred seventy-eight thousand, five hundred sixty".