63644 has 12 divisors (see below), whose sum is σ = 127344. Its totient is φ = 27264.

The previous prime is 63629. The next prime is 63647. The reversal of 63644 is 44636.

63644 is an admirable number.

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

It is a plaindrome in base 15.

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 63644.

It is not an unprimeable number, because it can be changed into a prime (63647) 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, 1109 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (10612).

2⁶³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

63644 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672).

63644 is a wasteful number, since it uses less digits than its factorization.

63644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 63644 is about 252.2776248501. The cubic root of 63644 is about 39.9256953894.

Subtracting from 63644 its product of digits (1728), we obtain a palindrome (61916).

It can be divided in two parts, 63 and 644, that added together give a palindrome (707).

The spelling of 63644 in words is "sixty-three thousand, six hundred forty-four".