32868 has 36 divisors (see below), whose sum is σ = 91728. Its totient is φ = 9840.

The previous prime is 32843. The next prime is 32869. The reversal of 32868 is 86823.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32868.

It is not an unprimeable number, because it can be changed into a prime (32869) by changing a digit.

32868 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 11 ways as a sum of consecutive naturals, for example, 355 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2³²⁸⁶⁸ 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 32868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

32868 is an abundant number, since it is smaller than the sum of its proper divisors (58860).

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

32868 is a wasteful number, since it uses less digits than its factorization.

32868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32868 is about 181.2953391569. The cubic root of 32868 is about 32.0325190257.

It can be divided in two parts, 32 and 868, that added together give a square (900 = 30²).

The spelling of 32868 in words is "thirty-two thousand, eight hundred sixty-eight".