32160 has 48 divisors (see below), whose sum is σ = 102816. Its totient is φ = 8448.

The previous prime is 32159. The next prime is 32173. The reversal of 32160 is 6123.

32160 = T₈₀ + T₈₁ + ... + T₈₈.

32160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

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, 447 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (2142).

2³²¹⁶⁰ is an apocalyptic number.

32160 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 32160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408).

32160 is an abundant number, since it is smaller than the sum of its proper divisors (70656).

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

32160 is a wasteful number, since it uses less digits than its factorization.

32160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 32160 is about 179.3320941717. The cubic root of 32160 is about 31.8008464630.

Adding to 32160 its reverse (6123), we get a palindrome (38283).

The spelling of 32160 in words is "thirty-two thousand, one hundred sixty".