68958 has 16 divisors (see below), whose sum is σ = 153360. Its totient is φ = 22968.

The previous prime is 68947. The next prime is 68963. The reversal of 68958 is 85986.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6³ + 8⁵ + 9² + 5⁵ + 8⁵ .

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (9585).

2⁶⁸⁹⁵⁸ is an apocalyptic number.

68958 is an abundant number, since it is smaller than the sum of its proper divisors (84402).

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 (76680).

68958 is a wasteful number, since it uses less digits than its factorization.

68958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 68958 is about 262.5985529282. The cubic root of 68958 is about 41.0073355901.

It can be divided in two parts, 6895 and 8, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 68958 in words is "sixty-eight thousand, nine hundred fifty-eight".