68940 has 36 divisors (see below), whose sum is σ = 209664. Its totient is φ = 18336.

The previous prime is 68927. The next prime is 68947. The reversal of 68940 is 4986.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (68947) 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 11 ways as a sum of consecutive naturals, for example, 12 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2⁶⁸⁹⁴⁰ is an apocalyptic number.

68940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

68940 is an abundant number, since it is smaller than the sum of its proper divisors (140724).

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

68940 is a wasteful number, since it uses less digits than its factorization.

68940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68940 is about 262.5642778445. The cubic root of 68940 is about 41.0037672525.

It can be divided in two parts, 689 and 40, that added together give a 6-th power (729 = 3⁶).

The spelling of 68940 in words is "sixty-eight thousand, nine hundred forty".