68684 has 24 divisors (see below), whose sum is σ = 150528. Its totient is φ = 26640.

The previous prime is 68683. The next prime is 68687. The reversal of 68684 is 48686.

Added to its reverse (48686) it gives a triangular number (117370 = T₄₈₄).

It is a self number, because there is not a number n which added to its sum of digits gives 68684.

It is not an unprimeable number, because it can be changed into a prime (68683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

2⁶⁸⁶⁸⁴ 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 68684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264).

68684 is an abundant number, since it is smaller than the sum of its proper divisors (81844).

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

68684 is a wasteful number, since it uses less digits than its factorization.

68684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 68684 is about 262.0763247606. The cubic root of 68684 is about 40.9529501925.

Adding to 68684 its reverse (48686), we get a triangular number (117370 = T₄₈₄).

It can be divided in two parts, 6868 and 4, that multiplied together give a palindrome (27472).

The spelling of 68684 in words is "sixty-eight thousand, six hundred eighty-four".