11966976 has 180 divisors, whose sum is σ = 40934322. Its totient is φ = 3354624.

The previous prime is 11966953. The next prime is 11966993. The reversal of 11966976 is 67966911.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 2822400 = 3024^2 + 1680^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225766 + ... + 225818.

Almost surely, 2^11966976 is an apocalyptic number.

11966976 is a gapful number since it is divisible by the number (16) 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 11966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467161).

11966976 is an abundant number, since it is smaller than the sum of its proper divisors (28967346).

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

11966976 is an equidigital number, since it uses as much as digits as its factorization.

11966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 11966976 is about 3459.3317273716. The cubic root of 11966976 is about 228.7326386537.

The spelling of 11966976 in words is "eleven million, nine hundred sixty-six thousand, nine hundred seventy-six".