67998 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 19416.

The previous prime is 67993. The next prime is 68023. The reversal of 67998 is 89976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67993) by changing a digit.

67998 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2⁶⁷⁹⁹⁸ is an apocalyptic number.

67998 is an abundant number, since it is smaller than the sum of its proper divisors (87522).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

67998 is a wasteful number, since it uses less digits than its factorization.

67998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631.

The product of its digits is 27216, while the sum is 39.

The square root of 67998 is about 260.7642613550. The cubic root of 67998 is about 40.8161508530.

It can be divided in two parts, 679 and 98, that added together give a palindrome (777).

The spelling of 67998 in words is "sixty-seven thousand, nine hundred ninety-eight".