180504168 has 96 divisors (see below), whose sum is σ = 493309440. Its totient is φ = 55011840.

The previous prime is 180504143. The next prime is 180504173. The reversal of 180504168 is 861405081.

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 23 ways as a sum of consecutive naturals, for example, 774580 + ... + 774812.

It is an arithmetic number, because the mean of its divisors is an integer number (5138640).

Almost surely, 2^180504168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180504168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246654720).

180504168 is an abundant number, since it is smaller than the sum of its proper divisors (312805272).

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

180504168 is a wasteful number, since it uses less digits than its factorization.

180504168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 180504168 is about 13435.1839585471. The cubic root of 180504168 is about 565.1482817532.

The spelling of 180504168 in words is "one hundred eighty million, five hundred four thousand, one hundred sixty-eight".