11838200 has 48 divisors (see below), whose sum is σ = 30031560. Its totient is φ = 4304000.

The previous prime is 11838193. The next prime is 11838221. The reversal of 11838200 is 283811.

11838200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491 + ... + 4890.

Almost surely, 2^11838200 is an apocalyptic number.

11838200 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 11838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015780).

11838200 is an abundant number, since it is smaller than the sum of its proper divisors (18193360).

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

11838200 is a wasteful number, since it uses less digits than its factorization.

11838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11838200 is about 3440.6685396882. The cubic root of 11838200 is about 227.9092179879.

The spelling of 11838200 in words is "eleven million, eight hundred thirty-eight thousand, two hundred".