68516 has 12 divisors (see below), whose sum is σ = 137088. Its totient is φ = 29352.

The previous prime is 68507. The next prime is 68521. The reversal of 68516 is 61586.

68516 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

68516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1196 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2⁶⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

68516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (68544).

68516 is a wasteful number, since it uses less digits than its factorization.

68516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 68516 is about 261.7556112102. The cubic root of 68516 is about 40.9195328377.

Subtracting from 68516 its product of digits (1440), we obtain a palindrome (67076).

The spelling of 68516 in words is "sixty-eight thousand, five hundred sixteen".