32648 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 12480.

The previous prime is 32647. The next prime is 32653. The reversal of 32648 is 84623.

It is a happy number.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

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 32648.

It is not an unprimeable number, because it can be changed into a prime (32647) 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, 590 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2³²⁶⁴⁸ 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 32648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

32648 is an abundant number, since it is smaller than the sum of its proper divisors (45112).

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

32648 is a wasteful number, since it uses less digits than its factorization.

32648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

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

The square root of 32648 is about 180.6875756658. The cubic root of 32648 is about 31.9608897190.

It can be divided in two parts, 32 and 648, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 32648 in words is "thirty-two thousand, six hundred forty-eight".