32480 has 48 divisors (see below), whose sum is σ = 90720. Its totient is φ = 10752.

The previous prime is 32479. The next prime is 32491. The reversal of 32480 is 8423.

32480 = T₆₁ + T₆₂ + ... + T₇₄.

It is a plaindrome in base 11.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 3 and base 15.

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 32480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2³²⁴⁸⁰ 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 32480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

32480 is an abundant number, since it is smaller than the sum of its proper divisors (58240).

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

32480 is a wasteful number, since it uses less digits than its factorization.

32480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 32480 is about 180.2220852171. Note that the first 3 decimals coincide. The cubic root of 32480 is about 31.9059739928.

It can be divided in two parts, 324 and 80, that added together give a palindrome (404).

The spelling of 32480 in words is "thirty-two thousand, four hundred eighty".