32340 has 72 divisors (see below), whose sum is σ = 114912. Its totient is φ = 6720.

The previous prime is 32327. The next prime is 32341. The reversal of 32340 is 4323.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2³²³⁴⁰ is an apocalyptic number.

32340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32340 is the 147-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

32340 is an abundant number, since it is smaller than the sum of its proper divisors (82572).

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

32340 is a wasteful number, since it uses less digits than its factorization.

32340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 32340 is about 179.8332561013. The cubic root of 32340 is about 31.8600660531.

Adding to 32340 its reverse (4323), we get a palindrome (36663).

It can be divided in two parts, 323 and 40, that added together give a palindrome (363).

The spelling of 32340 in words is "thirty-two thousand, three hundred forty".