32880 has 40 divisors (see below), whose sum is σ = 102672. Its totient is φ = 8704.

The previous prime is 32869. The next prime is 32887. The reversal of 32880 is 8823.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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 32880.

It is not an unprimeable number, because it can be changed into a prime (32887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 308.

2³²⁸⁸⁰ is an apocalyptic number.

32880 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 32880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336).

32880 is an abundant number, since it is smaller than the sum of its proper divisors (69792).

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

32880 is a wasteful number, since it uses less digits than its factorization.

32880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 32880 is about 181.3284313063. The cubic root of 32880 is about 32.0364168742.

The spelling of 32880 in words is "thirty-two thousand, eight hundred eighty".