123824768 has 32 divisors (see below), whose sum is σ = 249250260. Its totient is φ = 61267968.

The previous prime is 123824759. The next prime is 123824773. The reversal of 123824768 is 867428321.

It can be written as a sum of positive squares in 2 ways, for example, as 116812864 + 7011904 = 10808^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7430 + ... + 17402.

Almost surely, 2^123824768 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 123824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124625130).

123824768 is an abundant number, since it is smaller than the sum of its proper divisors (125425492).

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

123824768 is an frugal number, since it uses more digits than its factorization.

123824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10072 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 123824768 is about 11127.6577948821. The cubic root of 123824768 is about 498.4280873600.

The spelling of 123824768 in words is "one hundred twenty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".