180672016 has 30 divisors (see below), whose sum is σ = 407205150. Its totient is φ = 77430528.

The previous prime is 180671977. The next prime is 180672017. The reversal of 180672016 is 610276081.

180672016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 180633600 + 38416 = 13440^2 + 196^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180672017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 114441 + ... + 116008.

It is an arithmetic number, because the mean of its divisors is an integer number (13573505).

Almost surely, 2^180672016 is an apocalyptic number.

180672016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

180672016 is an abundant number, since it is smaller than the sum of its proper divisors (226533134).

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

180672016 is a wasteful number, since it uses less digits than its factorization.

180672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230471 (or 230458 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 180672016 is about 13441.4290906882. The cubic root of 180672016 is about 565.3234016639.

The spelling of 180672016 in words is "one hundred eighty million, six hundred seventy-two thousand, sixteen".