68796 has 72 divisors (see below), whose sum is σ = 223440. Its totient is φ = 18144.

The previous prime is 68791. The next prime is 68813. The reversal of 68796 is 69786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286 + ... + 5298.

2⁶⁸⁷⁹⁶ 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 68796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

68796 is an abundant number, since it is smaller than the sum of its proper divisors (154644).

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

68796 is a wasteful number, since it uses less digits than its factorization.

68796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 68796 is about 262.2899159327. The cubic root of 68796 is about 40.9751981666.

Subtracting 68796 from its reverse (69786), we obtain a triangular number (990 = T₄₄).

The spelling of 68796 in words is "sixty-eight thousand, seven hundred ninety-six".