32280 has 32 divisors (see below), whose sum is σ = 97200. Its totient is φ = 8576.

The previous prime is 32261. The next prime is 32297. The reversal of 32280 is 8223.

32280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

32280 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

32280 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 7 ways as a sum of consecutive naturals, for example, 15 + ... + 254.

2³²²⁸⁰ is an apocalyptic number.

32280 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 32280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

32280 is an abundant number, since it is smaller than the sum of its proper divisors (64920).

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

32280 is a wasteful number, since it uses less digits than its factorization.

32280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 32280 is about 179.6663574518. Note that the first 3 decimals coincide. The cubic root of 32280 is about 31.8403506607.

The spelling of 32280 in words is "thirty-two thousand, two hundred eighty".