180495168 has 112 divisors (see below), whose sum is σ = 569610240. Its totient is φ = 49319424.

The previous prime is 180495167. The next prime is 180495179. The reversal of 180495168 is 861594081.

180495168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180495167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27993 + ... + 33831.

Almost surely, 2^180495168 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 180495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284805120).

180495168 is an abundant number, since it is smaller than the sum of its proper divisors (389115072).

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

180495168 is a wasteful number, since it uses less digits than its factorization.

180495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 180495168 is about 13434.8490129216. The cubic root of 180495168 is about 565.1388887677.

The spelling of 180495168 in words is "one hundred eighty million, four hundred ninety-five thousand, one hundred sixty-eight".