123648768 has 180 divisors, whose sum is σ = 378405720. Its totient is φ = 40144896.

The previous prime is 123648737. The next prime is 123648773. The reversal of 123648768 is 867846321.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1389268 + ... + 1389356.

It is an arithmetic number, because the mean of its divisors is an integer number (2102254).

Almost surely, 2^123648768 is an apocalyptic number.

123648768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189202860).

123648768 is an abundant number, since it is smaller than the sum of its proper divisors (254756952).

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

123648768 is an frugal number, since it uses more digits than its factorization.

123648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 123648768 is about 11119.7467597064. The cubic root of 123648768 is about 498.1918262310.

It can be divided in two parts, 1 and 23648768, that added together give a square (23648769 = 4863²).

The spelling of 123648768 in words is "one hundred twenty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".