180612 has 36 divisors (see below), whose sum is σ = 475020. Its totient is φ = 57792.

The previous prime is 180569. The next prime is 180617. The reversal of 180612 is 216081.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 46656 = 366^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180617) by changing a digit.

180612 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 11 ways as a sum of consecutive naturals, for example, 958 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (13195).

2¹⁸⁰⁶¹² is an apocalyptic number.

180612 is a gapful number since it is divisible by the number (12) 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 180612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237510).

180612 is an abundant number, since it is smaller than the sum of its proper divisors (294408).

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

180612 is a wasteful number, since it uses less digits than its factorization.

180612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

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

The square root of 180612 is about 424.9847056072. The cubic root of 180612 is about 56.5260797970.

Adding to 180612 its reverse (216081), we get a palindrome (396693).

The spelling of 180612 in words is "one hundred eighty thousand, six hundred twelve".