123828684 has 72 divisors (see below), whose sum is σ = 338128560. Its totient is φ = 35167104.

The previous prime is 123828671. The next prime is 123828701. The reversal of 123828684 is 486828321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 115302 + ... + 116370.

It is an arithmetic number, because the mean of its divisors is an integer number (4696230).

Almost surely, 2^123828684 is an apocalyptic number.

123828684 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 123828684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169064280).

123828684 is an abundant number, since it is smaller than the sum of its proper divisors (214299876).

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

123828684 is a wasteful number, since it uses less digits than its factorization.

123828684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 123828684 is about 11127.8337514541. The cubic root of 123828684 is about 498.4333416234.

The spelling of 123828684 in words is "one hundred twenty-three million, eight hundred twenty-eight thousand, six hundred eighty-four".