32040 has 48 divisors (see below), whose sum is σ = 105300. Its totient is φ = 8448.

The previous prime is 32029. The next prime is 32051. The reversal of 32040 is 4023.

32040 = T₇₅ + T₇₆ + ... + T₈₄.

32040 is nontrivially palindromic in base 7.

32040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 179²-1.

It is an interprime number because it is at equal distance from previous prime (32029) and next prime (32051).

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 1764 = 174^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

32040 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, 316 + ... + 404.

2³²⁰⁴⁰ is an apocalyptic number.

32040 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 32040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52650).

32040 is an abundant number, since it is smaller than the sum of its proper divisors (73260).

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

32040 is a wasteful number, since it uses less digits than its factorization.

32040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 32040 is about 178.9972066821. The cubic root of 32040 is about 31.7612438735.

Adding to 32040 its reverse (4023), we get a palindrome (36063).

The spelling of 32040 in words is "thirty-two thousand, forty", and thus it is an eban number.