18096 has 40 divisors (see below), whose sum is σ = 52080. Its totient is φ = 5376.

The previous prime is 18089. The next prime is 18097. The reversal of 18096 is 69081.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18096.

It is not an unprimeable number, because it can be changed into a prime (18097) by changing a digit.

18096 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, 610 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹⁸⁰⁹⁶ is an apocalyptic number.

18096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18096 is the 78-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

18096 is an abundant number, since it is smaller than the sum of its proper divisors (33984).

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

18096 is a wasteful number, since it uses less digits than its factorization.

18096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

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

The square root of 18096 is about 134.5213737664. The cubic root of 18096 is about 26.2539223164.

Adding to 18096 its product of nonzero digits (432), we get a triangular number (18528 = T₁₉₂).

It can be divided in two parts, 180 and 96, that added together give a triangular number (276 = T₂₃).

The spelling of 18096 in words is "eighteen thousand, ninety-six".