68016 has 40 divisors (see below), whose sum is σ = 190960. Its totient is φ = 20736.

The previous prime is 67993. The next prime is 68023. The reversal of 68016 is 61086.

68016 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 67983 and 68001.

It is an unprimeable number.

68016 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 7 ways as a sum of consecutive naturals, for example, 570 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (4774).

2⁶⁸⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480).

68016 is an abundant number, since it is smaller than the sum of its proper divisors (122944).

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

68016 is a wasteful number, since it uses less digits than its factorization.

68016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 68016 is about 260.7987730032. The cubic root of 68016 is about 40.8197520662.

It can be divided in two parts, 680 and 16, that added together give a palindrome (696).

The spelling of 68016 in words is "sixty-eight thousand, sixteen".