68980 has 12 divisors (see below), whose sum is σ = 144900. Its totient is φ = 27584.

The previous prime is 68963. The next prime is 68993. The reversal of 68980 is 8986.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 60516 = 92^2 + 246^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

68980 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 3 ways as a sum of consecutive naturals, for example, 1705 + ... + 1744.

It is an arithmetic number, because the mean of its divisors is an integer number (12075).

2⁶⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

68980 is an abundant number, since it is smaller than the sum of its proper divisors (75920).

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 (72450).

68980 is a wasteful number, since it uses less digits than its factorization.

68980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 68980 is about 262.6404386228. The cubic root of 68980 is about 41.0116960484.

The spelling of 68980 in words is "sixty-eight thousand, nine hundred eighty".