182160 has 120 divisors (see below), whose sum is σ = 696384. Its totient is φ = 42240.

The previous prime is 182159. The next prime is 182167. The reversal of 182160 is 61281.

182160 = T₆₅ + T₆₆ + ... + T₁₁₀.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (182167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7909 + ... + 7931.

2¹⁸²¹⁶⁰ is an apocalyptic number.

182160 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 182160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

182160 is an abundant number, since it is smaller than the sum of its proper divisors (514224).

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

182160 is a wasteful number, since it uses less digits than its factorization.

182160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 182160 is about 426.8020618507. The cubic root of 182160 is about 56.6871129601.

It can be divided in two parts, 1821 and 60, that added together give a palindrome (1881).

The spelling of 182160 in words is "one hundred eighty-two thousand, one hundred sixty".