96336 has 40 divisors (see below), whose sum is σ = 277760. Its totient is φ = 31968.

The previous prime is 96331. The next prime is 96337. The reversal of 96336 is 63369.

96336 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96331) by changing a digit.

96336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁹⁶³³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138880).

96336 is an abundant number, since it is smaller than the sum of its proper divisors (181424).

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

96336 is a wasteful number, since it uses less digits than its factorization.

96336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 96336 is about 310.3804117531. The cubic root of 96336 is about 45.8419274977.

It can be divided in two parts, 963 and 36, that added together give a palindrome (999).

The spelling of 96336 in words is "ninety-six thousand, three hundred thirty-six".