11853000 has 128 divisors (see below), whose sum is σ = 41184000. Its totient is φ = 3153600.

The previous prime is 11852989. The next prime is 11853001. The reversal of 11853000 is 35811.

It is a happy number.

11853000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11853001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26781 + ... + 27219.

It is an arithmetic number, because the mean of its divisors is an integer number (321750).

Almost surely, 2^11853000 is an apocalyptic number.

11853000 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 11853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592000).

11853000 is an abundant number, since it is smaller than the sum of its proper divisors (29331000).

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

11853000 is a wasteful number, since it uses less digits than its factorization.

11853000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11853000 is about 3442.8186127067. The cubic root of 11853000 is about 228.0041550489.

Adding to 11853000 its reverse (35811), we get a palindrome (11888811).

The spelling of 11853000 in words is "eleven million, eight hundred fifty-three thousand".