11937984 has 56 divisors (see below), whose sum is σ = 31961328. Its totient is φ = 3932160.

The previous prime is 11937983. The next prime is 11938019. The reversal of 11937984 is 48973911.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11937983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18304 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (570738).

Almost surely, 2^11937984 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 11937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980664).

11937984 is an abundant number, since it is smaller than the sum of its proper divisors (20023344).

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

11937984 is an equidigital number, since it uses as much as digits as its factorization.

11937984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 11937984 is about 3455.1387815832. The cubic root of 11937984 is about 228.5477749332.

It can be divided in two parts, 11937 and 984, that added together give a palindrome (12921).

The spelling of 11937984 in words is "eleven million, nine hundred thirty-seven thousand, nine hundred eighty-four".