11730906 has 80 divisors (see below), whose sum is σ = 29795040. Its totient is φ = 3417120.

The previous prime is 11730893. The next prime is 11730913. The reversal of 11730906 is 60903711.

It is a super-2 number, since 2×11730906² = 275228311161672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11730906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51565 + ... + 51791.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 2^11730906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11730906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

11730906 is an abundant number, since it is smaller than the sum of its proper divisors (18064134).

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

11730906 is a wasteful number, since it uses less digits than its factorization.

11730906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 11730906 is about 3425.0410216521. The cubic root of 11730906 is about 227.2185853382.

The spelling of 11730906 in words is "eleven million, seven hundred thirty thousand, nine hundred six".