123936384 has 256 divisors, whose sum is σ = 403724160. Its totient is φ = 33177600.

The previous prime is 123936367. The next prime is 123936391. The reversal of 123936384 is 483639321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031714 + ... + 2031774.

Almost surely, 2^123936384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

123936384 is an abundant number, since it is smaller than the sum of its proper divisors (279787776).

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

123936384 is a wasteful number, since it uses less digits than its factorization.

123936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 123936384 is about 11132.6719164808. The cubic root of 123936384 is about 498.5778038852.

The spelling of 123936384 in words is "one hundred twenty-three million, nine hundred thirty-six thousand, three hundred eighty-four".