32940 has 48 divisors (see below), whose sum is σ = 104160. Its totient is φ = 8640.

The previous prime is 32939. The next prime is 32941. The reversal of 32940 is 4923.

32940 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (32939) and next prime (32941).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3³ + 2¹⁵ + 9² + 4³ + 0 .

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 32940.

It is not an unprimeable number, because it can be changed into a prime (32941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

2³²⁹⁴⁰ is an apocalyptic number.

32940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

32940 is an abundant number, since it is smaller than the sum of its proper divisors (71220).

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

32940 is a wasteful number, since it uses less digits than its factorization.

32940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 32940 is about 181.4938015471. The cubic root of 32940 is about 32.0558919045.

32940 divided by its sum of digits (18) gives a triangular number (1830 = T₆₀).

The spelling of 32940 in words is "thirty-two thousand, nine hundred forty".