123984000 has 512 divisors, whose sum is σ = 534643200. Its totient is φ = 27648000.

The previous prime is 123983971. The next prime is 123984001. The reversal of 123984000 is 489321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123984001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023980 + ... + 3024020.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^123984000 is an apocalyptic number.

123984000 is a gapful number since it is divisible by the number (10) 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 123984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

123984000 is an abundant number, since it is smaller than the sum of its proper divisors (410659200).

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

123984000 is an equidigital number, since it uses as much as digits as its factorization.

123984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 123984000 is about 11134.8102812756. The cubic root of 123984000 is about 498.6416464262.

The spelling of 123984000 in words is "one hundred twenty-three million, nine hundred eighty-four thousand".