67689 has 16 divisors (see below), whose sum is σ = 105600. Its totient is φ = 42768.

The previous prime is 67679. The next prime is 67699. The reversal of 67689 is 98676.

It is an interprime number because it is at equal distance from previous prime (67679) and next prime (67699).

It is not a de Polignac number, because 67689 - 2⁸ = 67433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (6600).

2⁶⁷⁶⁸⁹ is an apocalyptic number.

67689 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

67689 is a deficient number, since it is larger than the sum of its proper divisors (37911).

67689 is a wasteful number, since it uses less digits than its factorization.

67689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 67689 is about 260.1710975493. The cubic root of 67689 is about 40.7542306822.

The spelling of 67689 in words is "sixty-seven thousand, six hundred eighty-nine".