183648 has 24 divisors (see below), whose sum is σ = 482328. Its totient is φ = 61184.

The previous prime is 183637. The next prime is 183661. The reversal of 183648 is 846381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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 183648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 861 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (20097).

2¹⁸³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

183648 is an abundant number, since it is smaller than the sum of its proper divisors (298680).

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

183648 is a wasteful number, since it uses less digits than its factorization.

183648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 183648 is about 428.5417132555. The cubic root of 183648 is about 56.8410468361.

The spelling of 183648 in words is "one hundred eighty-three thousand, six hundred forty-eight".