36896 has 12 divisors (see below), whose sum is σ = 72702. Its totient is φ = 18432.

The previous prime is 36887. The next prime is 36899. The reversal of 36896 is 69863.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 10000 = 164^2 + 100^2 .

It is a super-2 number, since 2×36896² = 2722629632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1153 = 36896 / (3 + 6 + 8 + 9 + 6).

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 36896.

It is not an unprimeable number, because it can be changed into a prime (36899) by changing a digit.

36896 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 545 + ... + 608.

2³⁶⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

36896 is a deficient number, since it is larger than the sum of its proper divisors (35806).

36896 is a wasteful number, since it uses less digits than its factorization.

36896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1155 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 36896 is about 192.0833152567. The cubic root of 36896 is about 33.2909684014.

Subtracting from 36896 its sum of digits (32), we obtain a square (36864 = 192²).

It can be divided in two parts, 368 and 96, that added together give a palindrome (464).

The spelling of 36896 in words is "thirty-six thousand, eight hundred ninety-six".