67968 has 48 divisors (see below), whose sum is σ = 198900. Its totient is φ = 22272.

The previous prime is 67967. The next prime is 67979. The reversal of 67968 is 86976.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1123 + ... + 1181.

2⁶⁷⁹⁶⁸ 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 67968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99450).

67968 is an abundant number, since it is smaller than the sum of its proper divisors (130932).

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

67968 is a wasteful number, since it uses less digits than its factorization.

67968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

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

The square root of 67968 is about 260.7067317888. The cubic root of 67968 is about 40.8101474183.

It can be divided in two parts, 679 and 68, that added together give a palindrome (747).

The spelling of 67968 in words is "sixty-seven thousand, nine hundred sixty-eight".