11966640 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2568192.

The previous prime is 11966611. The next prime is 11966641. The reversal of 11966640 is 4666911.

It is not an unprimeable number, because it can be changed into a prime (11966641) 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 31 ways as a sum of consecutive naturals, for example, 28351 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^11966640 is an apocalyptic number.

11966640 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 11966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

11966640 is an abundant number, since it is smaller than the sum of its proper divisors (33030480).

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

11966640 is a wasteful number, since it uses less digits than its factorization.

11966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 11966640 is about 3459.2831627376. The cubic root of 11966640 is about 228.7304979044.

The spelling of 11966640 in words is "eleven million, nine hundred sixty-six thousand, six hundred forty".