180648 has 48 divisors (see below), whose sum is σ = 529620. Its totient is φ = 55296.

The previous prime is 180647. The next prime is 180667. The reversal of 180648 is 846081.

180648 is a `hidden beast` number, since 18 + 0 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 19044 = 402^2 + 138^2 .

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180648.

It is not an unprimeable number, because it can be changed into a prime (180647) 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, 840 + ... + 1032.

2¹⁸⁰⁶⁴⁸ is an apocalyptic number.

180648 is a gapful number since it is divisible by the number (18) 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 180648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264810).

180648 is an abundant number, since it is smaller than the sum of its proper divisors (348972).

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

180648 is a wasteful number, since it uses less digits than its factorization.

180648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180648 is about 425.0270579622. The cubic root of 180648 is about 56.5298351837.

It can be divided in two parts, 180 and 648, that added together give a palindrome (828).

The spelling of 180648 in words is "one hundred eighty thousand, six hundred forty-eight".