180006912 has 156 divisors (see below), whose sum is σ = 549452280. Its totient is φ = 56623104.

The previous prime is 180006907. The next prime is 180006917. The reversal of 180006912 is 219600081.

It is an interprime number because it is at equal distance from previous prime (180006907) and next prime (180006917).

It is not an unprimeable number, because it can be changed into a prime (180006917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700288 + ... + 700544.

It is an arithmetic number, because the mean of its divisors is an integer number (3522130).

Almost surely, 2^180006912 is an apocalyptic number.

180006912 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 180006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274726140).

180006912 is an abundant number, since it is smaller than the sum of its proper divisors (369445368).

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

180006912 is a wasteful number, since it uses less digits than its factorization.

180006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 180006912 is about 13416.6654575569. The cubic root of 180006912 is about 564.6288443928.

Adding to 180006912 its reverse (219600081), we get a palindrome (399606993).

It can be divided in two parts, 1800069 and 12, that added together give a palindrome (1800081).

The spelling of 180006912 in words is "one hundred eighty million, six thousand, nine hundred twelve".