11811834 has 48 divisors (see below), whose sum is σ = 27061632. Its totient is φ = 3716064.

The previous prime is 11811797. The next prime is 11811847. The reversal of 11811834 is 43811811.

It is a junction number, because it is equal to n+sod(n) for n = 11811798 and 11811807.

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, 42504 + ... + 42780.

It is an arithmetic number, because the mean of its divisors is an integer number (563784).

Almost surely, 2^11811834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11811834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530816).

11811834 is an abundant number, since it is smaller than the sum of its proper divisors (15249798).

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

11811834 is a wasteful number, since it uses less digits than its factorization.

11811834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 408 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 11811834 is about 3436.8348811079. The cubic root of 11811834 is about 227.7398926658.

The spelling of 11811834 in words is "eleven million, eight hundred eleven thousand, eight hundred thirty-four".