11766216 has 64 divisors (see below), whose sum is σ = 36679680. Its totient is φ = 3055680.

The previous prime is 11766203. The next prime is 11766217. The reversal of 11766216 is 61266711.

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

It is not an unprimeable number, because it can be changed into a prime (11766217) 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 15 ways as a sum of consecutive naturals, for example, 1336 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (573120).

Almost surely, 2^11766216 is an apocalyptic number.

It is an amenable number.

11766216 is an abundant number, since it is smaller than the sum of its proper divisors (24913464).

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

11766216 is a wasteful number, since it uses less digits than its factorization.

11766216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6390 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 11766216 is about 3430.1918313704. The cubic root of 11766216 is about 227.4463327903.

The spelling of 11766216 in words is "eleven million, seven hundred sixty-six thousand, two hundred sixteen".