123808384 has 32 divisors (see below), whose sum is σ = 281887200. Its totient is φ = 53060352.

The previous prime is 123808381. The next prime is 123808403. The reversal of 123808384 is 483808321.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (123808381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68194 + ... + 69985.

It is an arithmetic number, because the mean of its divisors is an integer number (8808975).

Almost surely, 2^123808384 is an apocalyptic number.

123808384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123808384 is an abundant number, since it is smaller than the sum of its proper divisors (158078816).

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

123808384 is an equidigital number, since it uses as much as digits as its factorization.

123808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138200 (or 138188 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 123808384 is about 11126.9215868541. The cubic root of 123808384 is about 498.4061030508.

The spelling of 123808384 in words is "one hundred twenty-three million, eight hundred eight thousand, three hundred eighty-four".