32096 has 24 divisors (see below), whose sum is σ = 68040. Its totient is φ = 14848.

The previous prime is 32089. The next prime is 32099. The reversal of 32096 is 69023.

It is a happy number.

32096 is a modest number, since divided by 96 gives 32 as remainder.

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

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 32096.

It is not an unprimeable number, because it can be changed into a prime (32099) 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, 515 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³²⁰⁹⁶ 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 32096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020).

32096 is an abundant number, since it is smaller than the sum of its proper divisors (35944).

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

32096 is a wasteful number, since it uses less digits than its factorization.

32096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 32096 is about 179.1535654125. The cubic root of 32096 is about 31.7797373652.

The spelling of 32096 in words is "thirty-two thousand, ninety-six".