123408768 has 128 divisors (see below), whose sum is σ = 386979840. Its totient is φ = 34099200.

The previous prime is 123408757. The next prime is 123408773. The reversal of 123408768 is 867804321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82588 + ... + 84068.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^123408768 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 123408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193489920).

123408768 is an abundant number, since it is smaller than the sum of its proper divisors (263571072).

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

123408768 is a wasteful number, since it uses less digits than its factorization.

123408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 123408768 is about 11108.9499053691. The cubic root of 123408768 is about 497.8692903841.

The spelling of 123408768 in words is "one hundred twenty-three million, four hundred eight thousand, seven hundred sixty-eight".