32268 has 12 divisors (see below), whose sum is σ = 75320. Its totient is φ = 10752.

The previous prime is 32261. The next prime is 32297. The reversal of 32268 is 86223.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (32261) by changing a digit.

32268 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, 1333 + ... + 1356.

2³²²⁶⁸ is an apocalyptic number.

It is an amenable number.

32268 is an abundant number, since it is smaller than the sum of its proper divisors (43052).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37660).

32268 is a wasteful number, since it uses less digits than its factorization.

32268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2694 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 32268 is about 179.6329591139. The cubic root of 32268 is about 31.8364046511.

It can be divided in two parts, 32 and 268, that added together give a triangular number (300 = T₂₄).

The spelling of 32268 in words is "thirty-two thousand, two hundred sixty-eight".