32080 has 20 divisors (see below), whose sum is σ = 74772. Its totient is φ = 12800.

The previous prime is 32077. The next prime is 32083. The reversal of 32080 is 8023.

It is an interprime number because it is at equal distance from previous prime (32077) and next prime (32083).

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 7744 = 156^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 8 and base 14.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 32080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121 + ... + 280.

2³²⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

32080 is an abundant number, since it is smaller than the sum of its proper divisors (42692).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37386).

32080 is a wasteful number, since it uses less digits than its factorization.

32080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 32080 is about 179.1089054179. The cubic root of 32080 is about 31.7744557069.

It can be divided in two parts, 320 and 80, that multiplied together give a square (25600 = 160²).

The spelling of 32080 in words is "thirty-two thousand, eighty".