123387768 has 96 divisors (see below), whose sum is σ = 404408160. Its totient is φ = 33177600.

The previous prime is 123387749. The next prime is 123387773. The reversal of 123387768 is 867783321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368 + ... + 15768.

It is an arithmetic number, because the mean of its divisors is an integer number (4212585).

Almost surely, 2^123387768 is an apocalyptic number.

123387768 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 123387768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202204080).

123387768 is an abundant number, since it is smaller than the sum of its proper divisors (281020392).

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

123387768 is a wasteful number, since it uses less digits than its factorization.

123387768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14437 (or 14430 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 123387768 is about 11108.0046813098. The cubic root of 123387768 is about 497.8410486085.

The spelling of 123387768 in words is "one hundred twenty-three million, three hundred eighty-seven thousand, seven hundred sixty-eight".