11967984 has 120 divisors (see below), whose sum is σ = 39616512. Its totient is φ = 3300480.

The previous prime is 11967979. The next prime is 11967997. The reversal of 11967984 is 48976911.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31057 + ... + 31439.

Almost surely, 2^11967984 is an apocalyptic number.

11967984 is a gapful number since it is divisible by the number (14) 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 11967984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808256).

11967984 is an abundant number, since it is smaller than the sum of its proper divisors (27648528).

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

11967984 is a wasteful number, since it uses less digits than its factorization.

11967984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 11967984 is about 3459.4774171831. The cubic root of 11967984 is about 228.7390606611.

It can be divided in two parts, 1196 and 7984, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 11967984 in words is "eleven million, nine hundred sixty-seven thousand, nine hundred eighty-four".