67688 has 8 divisors (see below), whose sum is σ = 126930. Its totient is φ = 33840.

The previous prime is 67679. The next prime is 67699. The reversal of 67688 is 88676.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 20164 = 218^2 + 142^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

67688 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4223 + ... + 4238.

2⁶⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

67688 is a deficient number, since it is larger than the sum of its proper divisors (59242).

67688 is a wasteful number, since it uses less digits than its factorization.

67688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8463 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 67688 is about 260.1691757299. The cubic root of 67688 is about 40.7540299877.

It can be divided in two parts, 6768 and 8, that added together give a palindrome (6776).

The spelling of 67688 in words is "sixty-seven thousand, six hundred eighty-eight".