63444 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 19840.

The previous prime is 63443. The next prime is 63463. The reversal of 63444 is 44436.

Added to its reverse (44436) it gives a triangular number (107880 = T₄₆₄).

It is a super-2 number, since 2×63444² = 8050282272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁶³⁴⁴⁴ 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 63444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

63444 is an abundant number, since it is smaller than the sum of its proper divisors (93804).

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

63444 is a wasteful number, since it uses less digits than its factorization.

63444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 63444 is about 251.8809242479. The cubic root of 63444 is about 39.8838296043.

Adding to 63444 its reverse (44436), we get a triangular number (107880 = T₄₆₄).

It can be divided in two parts, 63 and 444, that multiplied together give a palindrome (27972).

The spelling of 63444 in words is "sixty-three thousand, four hundred forty-four".