123830784 has 240 divisors, whose sum is σ = 446846400. Its totient is φ = 32071680.

The previous prime is 123830753. The next prime is 123830789. The reversal of 123830784 is 487038321.

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

It is not an unprimeable number, because it can be changed into a prime (123830789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354642 + ... + 354990.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^123830784 is an apocalyptic number.

123830784 is a gapful number since it is divisible by the number (14) 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 123830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

123830784 is an abundant number, since it is smaller than the sum of its proper divisors (323015616).

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

123830784 is a wasteful number, since it uses less digits than its factorization.

123830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

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

The square root of 123830784 is about 11127.9281090417. The cubic root of 123830784 is about 498.4361592368.

The spelling of 123830784 in words is "one hundred twenty-three million, eight hundred thirty thousand, seven hundred eighty-four".