68144 has 10 divisors (see below), whose sum is σ = 132060. Its totient is φ = 34064.

The previous prime is 68141. The next prime is 68147. The reversal of 68144 is 44186.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68141) and next prime (68147).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68144.

It is not an unprimeable number, because it can be changed into a prime (68141) 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 as a sum of consecutive naturals, namely, 2114 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (13206).

2⁶⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

68144 is a deficient number, since it is larger than the sum of its proper divisors (63916).

68144 is a wasteful number, since it uses less digits than its factorization.

68144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4261 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 68144 is about 261.0440575842. The cubic root of 68144 is about 40.8453423885.

Subtracting from 68144 its sum of digits (23), we obtain a square (68121 = 261²).

Subtracting from 68144 its product of digits (768), we obtain a palindrome (67376).

It can be divided in two parts, 68 and 144, that added together give a palindrome (212).

The spelling of 68144 in words is "sixty-eight thousand, one hundred forty-four".