32368 has 30 divisors (see below), whose sum is σ = 76136. Its totient is φ = 13056.

The previous prime is 32363. The next prime is 32369. The reversal of 32368 is 86323.

32368 is nontrivially palindromic in base 6.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

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 32368.

It is not an unprimeable number, because it can be changed into a prime (32363) by changing a digit.

32368 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 5 ways as a sum of consecutive naturals, for example, 1896 + ... + 1912.

2³²³⁶⁸ 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 32368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068).

32368 is an abundant number, since it is smaller than the sum of its proper divisors (43768).

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

32368 is a wasteful number, since it uses less digits than its factorization.

32368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 26 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 32368 is about 179.9110891524. The cubic root of 32368 is about 31.8692582250.

It can be divided in two parts, 32 and 368, that added together give a square (400 = 20²).

The spelling of 32368 in words is "thirty-two thousand, three hundred sixty-eight".