180916096 has 32 divisors (see below), whose sum is σ = 364782600. Its totient is φ = 89362944.

The previous prime is 180916079. The next prime is 180916097. The reversal of 180916096 is 690619081.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180916097) 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 3 ways as a sum of consecutive naturals, for example, 2110 + ... + 19138.

Almost surely, 2^180916096 is an apocalyptic number.

180916096 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 180916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182391300).

180916096 is an abundant number, since it is smaller than the sum of its proper divisors (183866504).

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

180916096 is an equidigital number, since it uses as much as digits as its factorization.

180916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 180916096 is about 13450.5054180131. The cubic root of 180916096 is about 565.5778628484.

The spelling of 180916096 in words is "one hundred eighty million, nine hundred sixteen thousand, ninety-six".