180029712 has 80 divisors (see below), whose sum is σ = 491912960. Its totient is φ = 56578176.

The previous prime is 180029687. The next prime is 180029723. The reversal of 180029712 is 217920081.

It is a self number, because there is not a number n which added to its sum of digits gives 180029712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279663 + ... + 280305.

It is an arithmetic number, because the mean of its divisors is an integer number (6148912).

Almost surely, 2^180029712 is an apocalyptic number.

180029712 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 180029712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245956480).

180029712 is an abundant number, since it is smaller than the sum of its proper divisors (311883248).

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

180029712 is a wasteful number, since it uses less digits than its factorization.

180029712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 180029712 is about 13417.5151201704. The cubic root of 180029712 is about 564.6526823555.

Adding to 180029712 its reverse (217920081), we get a palindrome (397949793).

The spelling of 180029712 in words is "one hundred eighty million, twenty-nine thousand, seven hundred twelve".