123838740 has 96 divisors (see below), whose sum is σ = 392636160. Its totient is φ = 32393088.

The previous prime is 123838721. The next prime is 123838747. The reversal of 123838740 is 47838321.

123838740 is a `hidden beast` number, since 1 + 238 + 387 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123838695 and 123838704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123838747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26457 + ... + 30783.

It is an arithmetic number, because the mean of its divisors is an integer number (4089960).

Almost surely, 2^123838740 is an apocalyptic number.

123838740 is a gapful number since it is divisible by the number (10) 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 123838740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196318080).

123838740 is an abundant number, since it is smaller than the sum of its proper divisors (268797420).

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

123838740 is a wasteful number, since it uses less digits than its factorization.

123838740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 123838740 is about 11128.2855822449. The cubic root of 123838740 is about 498.4468336777.

The spelling of 123838740 in words is "one hundred twenty-three million, eight hundred thirty-eight thousand, seven hundred forty".