123924 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 39424.

The previous prime is 123923. The next prime is 123931. The reversal of 123924 is 429321.

123924 = T₁₇₂ + T₁₇₃ + ... + T₁₇₉.

It is a self number, because there is not a number n which added to its sum of digits gives 123924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123923) 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 7 ways as a sum of consecutive naturals, for example, 52 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²³⁹²⁴ 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 123924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

123924 is an abundant number, since it is smaller than the sum of its proper divisors (178476).

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

123924 is a wasteful number, since it uses less digits than its factorization.

123924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 123924 is about 352.0284079446. The cubic root of 123924 is about 49.8561196997.

The spelling of 123924 in words is "one hundred twenty-three thousand, nine hundred twenty-four".