11984000 has 128 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 4070400.

The previous prime is 11983987. The next prime is 11984009. The reversal of 11984000 is 48911.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11984009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111947 + ... + 112053.

It is an arithmetic number, because the mean of its divisors is an integer number (268515).

Almost surely, 2^11984000 is an apocalyptic number.

11984000 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 11984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

11984000 is an abundant number, since it is smaller than the sum of its proper divisors (22385920).

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

11984000 is an equidigital number, since it uses as much as digits as its factorization.

11984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 11984000 is about 3461.7914437470. The cubic root of 11984000 is about 228.8410508767.

The spelling of 11984000 in words is "eleven million, nine hundred eighty-four thousand".