36096 has 36 divisors (see below), whose sum is σ = 98112. Its totient is φ = 11776.

The previous prime is 36083. The next prime is 36097. The reversal of 36096 is 69063.

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

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36097) by changing a digit.

36096 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 3 ways as a sum of consecutive naturals, for example, 745 + ... + 791.

2³⁶⁰⁹⁶ 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 36096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056).

36096 is an abundant number, since it is smaller than the sum of its proper divisors (62016).

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

36096 is an equidigital number, since it uses as much as digits as its factorization.

36096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 36096 is about 189.9894733926. The cubic root of 36096 is about 33.0485969027.

The spelling of 36096 in words is "thirty-six thousand, ninety-six".