11966448 has 80 divisors (see below), whose sum is σ = 33775616. Its totient is φ = 3628800.

The previous prime is 11966441. The next prime is 11966459. The reversal of 11966448 is 84466911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79173 + ... + 79323.

Almost surely, 2^11966448 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 11966448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887808).

11966448 is an abundant number, since it is smaller than the sum of its proper divisors (21809168).

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

11966448 is a wasteful number, since it uses less digits than its factorization.

11966448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 11966448 is about 3459.2554112121. The cubic root of 11966448 is about 228.7292746011.

The spelling of 11966448 in words is "eleven million, nine hundred sixty-six thousand, four hundred forty-eight".