67344 has 40 divisors (see below), whose sum is σ = 184512. Its totient is φ = 21120.

The previous prime is 67343. The next prime is 67349. The reversal of 67344 is 44376.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6⁵ + 7 + 3¹⁰ + 4⁴ + 4⁴ .

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (67343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1134.

2⁶⁷³⁴⁴ 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 67344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256).

67344 is an abundant number, since it is smaller than the sum of its proper divisors (117168).

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

67344 is a wasteful number, since it uses less digits than its factorization.

67344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 67344 is about 259.5072253329. The cubic root of 67344 is about 40.6848734504.

It can be divided in two parts, 673 and 44, that added together give a palindrome (717).

The spelling of 67344 in words is "sixty-seven thousand, three hundred forty-four".