68920 has 16 divisors (see below), whose sum is σ = 155160. Its totient is φ = 27552.

The previous prime is 68917. The next prime is 68927. The reversal of 68920 is 2986.

It is a Cunningham number, because it is equal to 41³-1.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 822 + ... + 901.

2⁶⁸⁹²⁰ is an apocalyptic number.

It is an amenable number.

68920 is an abundant number, since it is smaller than the sum of its proper divisors (86240).

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 (77580).

68920 is a wasteful number, since it uses less digits than its factorization.

68920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 68920 is about 262.5261891698. The cubic root of 68920 is about 40.9998017044. Note that the first 3 decimals are identical.

The spelling of 68920 in words is "sixty-eight thousand, nine hundred twenty".