178160 has 40 divisors (see below), whose sum is σ = 441936. Its totient is φ = 66560.

The previous prime is 178151. The next prime is 178169. The reversal of 178160 is 61871.

It is an interprime number because it is at equal distance from previous prime (178151) and next prime (178169).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 178160.

It is not an unprimeable number, because it can be changed into a prime (178169) by changing a digit.

178160 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295 + ... + 1425.

2¹⁷⁸¹⁶⁰ is an apocalyptic number.

178160 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 178160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

178160 is an abundant number, since it is smaller than the sum of its proper divisors (263776).

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

178160 is a wasteful number, since it uses less digits than its factorization.

178160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 178160 is about 422.0900377881. The cubic root of 178160 is about 56.2691128466.

The spelling of 178160 in words is "one hundred seventy-eight thousand, one hundred sixty".