32864 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 14976.

The previous prime is 32843. The next prime is 32869. The reversal of 32864 is 46823.

It is a happy number.

32864 is a modest number, since divided by 864 gives 32 as remainder.

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 32864.

It is not an unprimeable number, because it can be changed into a prime (32869) by changing a digit.

32864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2³²⁸⁶⁴ 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 32864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

32864 is an abundant number, since it is smaller than the sum of its proper divisors (37696).

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

32864 is a wasteful number, since it uses less digits than its factorization.

32864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 32864 is about 181.2843070980. The cubic root of 32864 is about 32.0312195320.

The spelling of 32864 in words is "thirty-two thousand, eight hundred sixty-four".