123768 has 40 divisors (see below), whose sum is σ = 348480. Its totient is φ = 41040.

The previous prime is 123757. The next prime is 123787. The reversal of 123768 is 867321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 553 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

123768 is a Friedman number, since it can be written as 6^3*(82*7-1), using all its digits and the basic arithmetic operations.

2¹²³⁷⁶⁸ is an apocalyptic number.

123768 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 123768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

123768 is an abundant number, since it is smaller than the sum of its proper divisors (224712).

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

123768 is a wasteful number, since it uses less digits than its factorization.

123768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 123768 is about 351.8067651425. The cubic root of 123768 is about 49.8351906880.

The spelling of 123768 in words is "one hundred twenty-three thousand, seven hundred sixty-eight".