11841000 has 64 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3156800.

The previous prime is 11840987. The next prime is 11841007. The reversal of 11841000 is 14811.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11841007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 2^11841000 is an apocalyptic number.

11841000 is a gapful number since it is divisible by the number (10) 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 11841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

11841000 is an abundant number, since it is smaller than the sum of its proper divisors (25112280).

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

11841000 is a wasteful number, since it uses less digits than its factorization.

11841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11841000 is about 3441.0754132974. The cubic root of 11841000 is about 227.9271851199.

Adding to 11841000 its reverse (14811), we get a palindrome (11855811).

The spelling of 11841000 in words is "eleven million, eight hundred forty-one thousand".