180204816 has 240 divisors, whose sum is σ = 569963520. Its totient is φ = 48787200.

The previous prime is 180204809. The next prime is 180204853. The reversal of 180204816 is 618402081.

180204816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538061 + ... + 2538131.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2^180204816 is an apocalyptic number.

180204816 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 180204816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

180204816 is an abundant number, since it is smaller than the sum of its proper divisors (389758704).

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

180204816 is a wasteful number, since it uses less digits than its factorization.

180204816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 180204816 is about 13424.0387365353. The cubic root of 180204816 is about 564.8356908593.

Adding to 180204816 its reverse (618402081), we get a palindrome (798606897).

The spelling of 180204816 in words is "one hundred eighty million, two hundred four thousand, eight hundred sixteen".