68824 has 16 divisors (see below), whose sum is σ = 147600. Its totient is φ = 29472.

The previous prime is 68821. The next prime is 68863. The reversal of 68824 is 42886.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 6³ + 8³ + 8³ + 2¹¹ + 4⁸ .

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 68792 and 68801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68821) by changing a digit.

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, 559 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2⁶⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

68824 is an abundant number, since it is smaller than the sum of its proper divisors (78776).

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 (73800).

68824 is a wasteful number, since it uses less digits than its factorization.

68824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 68824 is about 262.3432865541. The cubic root of 68824 is about 40.9807563867.

It can be divided in two parts, 6882 and 4, that added together give a palindrome (6886).

The spelling of 68824 in words is "sixty-eight thousand, eight hundred twenty-four".