123832384 has 63 divisors (see below), whose sum is σ = 268596237. Its totient is φ = 56619264.

The previous prime is 123832381. The next prime is 123832399. The reversal of 123832384 is 483238321.

The square root of 123832384 is 11128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18318400 + 105513984 = 4280^2 + 10272^2 .

It is not an unprimeable number, because it can be changed into a prime (123832381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1157259 + ... + 1157365.

Almost surely, 2^123832384 is an apocalyptic number.

123832384 is the 11128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123832384

123832384 is an abundant number, since it is smaller than the sum of its proper divisors (144763853).

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

123832384 is an equidigital number, since it uses as much as digits as its factorization.

123832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The cubic root of 123832384 is about 498.4383059686.

The spelling of 123832384 in words is "one hundred twenty-three million, eight hundred thirty-two thousand, three hundred eighty-four".