11834000 has 80 divisors (see below), whose sum is σ = 29383536. Its totient is φ = 4608000.

The previous prime is 11833993. The next prime is 11834003. The reversal of 11834000 is 43811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7639696 + 4194304 = 2764^2 + 2048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11834000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121952 + ... + 122048.

Almost surely, 2^11834000 is an apocalyptic number.

11834000 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 11834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691768).

11834000 is an abundant number, since it is smaller than the sum of its proper divisors (17549536).

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

11834000 is an equidigital number, since it uses as much as digits as its factorization.

11834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11834000 is about 3440.0581390436. The cubic root of 11834000 is about 227.8822619771.

Adding to 11834000 its reverse (43811), we get a palindrome (11877811).

The spelling of 11834000 in words is "eleven million, eight hundred thirty-four thousand".