180096 has 64 divisors (see below), whose sum is σ = 554880. Its totient is φ = 50688.

The previous prime is 180077. The next prime is 180097. The reversal of 180096 is 690081.

180096 is digitally balanced in base 2, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180097) by changing a digit.

180096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2655 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (8670).

2¹⁸⁰⁰⁹⁶ is an apocalyptic number.

180096 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 180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277440).

180096 is an abundant number, since it is smaller than the sum of its proper divisors (374784).

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

180096 is an equidigital number, since it uses as much as digits as its factorization.

180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 180096 is about 424.3771907160. The cubic root of 180096 is about 56.4721976665.

The spelling of 180096 in words is "one hundred eighty thousand, ninety-six".