11617866 has 48 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 3538080.

The previous prime is 11617849. The next prime is 11617891. The reversal of 11617866 is 66871611.

11617866 = T₆₁ + T₆₂ + ... + T₄₁₁.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11617866.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30465 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 2^11617866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11617866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

11617866 is an abundant number, since it is smaller than the sum of its proper divisors (15769494).

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

11617866 is a wasteful number, since it uses less digits than its factorization.

11617866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 528 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11617866 is about 3408.4990831743. The cubic root of 11617866 is about 226.4863959784.

The spelling of 11617866 in words is "eleven million, six hundred seventeen thousand, eight hundred sixty-six".