36648 has 24 divisors (see below), whose sum is σ = 99450. Its totient is φ = 12192.

The previous prime is 36643. The next prime is 36653. The reversal of 36648 is 84663.

It is an interprime number because it is at equal distance from previous prime (36643) and next prime (36653).

It can be written as a sum of positive squares in only one way, i.e., 26244 + 10404 = 162^2 + 102^2 .

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36648.

It is not an unprimeable number, because it can be changed into a prime (36643) by changing a digit.

36648 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183 + ... + 326.

2³⁶⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

36648 is an abundant number, since it is smaller than the sum of its proper divisors (62802).

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

36648 is a wasteful number, since it uses less digits than its factorization.

36648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 36648 is about 191.4366736025. The cubic root of 36648 is about 33.2162111762.

Adding to 36648 its product of digits (3456), we get a palindrome (40104).

It can be divided in two parts, 366 and 48, that added together give a palindrome (414).

The spelling of 36648 in words is "thirty-six thousand, six hundred forty-eight".