123824 has 20 divisors (see below), whose sum is σ = 245520. Its totient is φ = 60480.

The previous prime is 123821. The next prime is 123829. The reversal of 123824 is 428321.

123824 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 123796 and 123805.

It is not an unprimeable number, because it can be changed into a prime (123821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1082 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2¹²³⁸²⁴ is an apocalyptic number.

It is an amenable number.

123824 is a deficient number, since it is larger than the sum of its proper divisors (121696).

123824 is a wasteful number, since it uses less digits than its factorization.

123824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 123824 is about 351.8863452878. The cubic root of 123824 is about 49.8427056889.

The spelling of 123824 in words is "one hundred twenty-three thousand, eight hundred twenty-four".