68838 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 17760.

The previous prime is 68821. The next prime is 68863. The reversal of 68838 is 83886.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68799 and 68808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁶⁸⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

68838 is an abundant number, since it is smaller than the sum of its proper divisors (103962).

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

68838 is a wasteful number, since it uses less digits than its factorization.

68838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 9216, while the sum is 33.

The square root of 68838 is about 262.3699677936. The cubic root of 68838 is about 40.9835349315.

The spelling of 68838 in words is "sixty-eight thousand, eight hundred thirty-eight".