182016 has 54 divisors (see below), whose sum is σ = 531440. Its totient is φ = 59904.

The previous prime is 182011. The next prime is 182027. The reversal of 182016 is 610281.

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

It is a self number, because there is not a number n which added to its sum of digits gives 182016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182011) by changing a digit.

182016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2265 + ... + 2343.

2¹⁸²⁰¹⁶ is an apocalyptic number.

182016 is a gapful number since it is divisible by the number (16) 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 182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265720).

182016 is an abundant number, since it is smaller than the sum of its proper divisors (349424).

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

182016 is an equidigital number, since it uses as much as digits as its factorization.

182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

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

The square root of 182016 is about 426.6333320311. The cubic root of 182016 is about 56.6721717066.

Adding to 182016 its reverse (610281), we get a palindrome (792297).

The spelling of 182016 in words is "one hundred eighty-two thousand, sixteen".