123905376 has 120 divisors (see below), whose sum is σ = 416520720. Its totient is φ = 35396352.

The previous prime is 123905359. The next prime is 123905387. The reversal of 123905376 is 673509321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123905376.

It is a congruent number.

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, 14730 + ... + 21558.

It is an arithmetic number, because the mean of its divisors is an integer number (3471006).

Almost surely, 2^123905376 is an apocalyptic number.

123905376 is a gapful number since it is divisible by the number (16) 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 123905376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208260360).

123905376 is an abundant number, since it is smaller than the sum of its proper divisors (292615344).

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

123905376 is an equidigital number, since it uses as much as digits as its factorization.

123905376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 123905376 is about 11131.2791717754. The cubic root of 123905376 is about 498.5362202126.

It can be divided in two parts, 12390 and 5376, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 123905376 in words is "one hundred twenty-three million, nine hundred five thousand, three hundred seventy-six".