180976016 has 120 divisors (see below), whose sum is σ = 418258944. Its totient is φ = 75479040.

The previous prime is 180976001. The next prime is 180976027. The reversal of 180976016 is 610679081.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424945 + ... + 1425071.

Almost surely, 2^180976016 is an apocalyptic number.

180976016 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 180976016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209129472).

180976016 is an abundant number, since it is smaller than the sum of its proper divisors (237282928).

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

180976016 is a wasteful number, since it uses less digits than its factorization.

180976016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 180976016 is about 13452.7326592035. The cubic root of 180976016 is about 565.6402963660.

The spelling of 180976016 in words is "one hundred eighty million, nine hundred seventy-six thousand, sixteen".