11966616 has 80 divisors (see below), whose sum is σ = 34194600. Its totient is φ = 3908736.

The previous prime is 11966611. The next prime is 11966641. The reversal of 11966616 is 61666911.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966611) 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 19 ways as a sum of consecutive naturals, for example, 38076 + ... + 38388.

Almost surely, 2^11966616 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 11966616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097300).

11966616 is an abundant number, since it is smaller than the sum of its proper divisors (22227984).

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

11966616 is a wasteful number, since it uses less digits than its factorization.

11966616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11966616 is about 3459.2796938091. The cubic root of 11966616 is about 228.7303449922.

The spelling of 11966616 in words is "eleven million, nine hundred sixty-six thousand, six hundred sixteen".