11809200 has 120 divisors (see below), whose sum is σ = 40792528. Its totient is φ = 2903040.

The previous prime is 11809199. The next prime is 11809211. The reversal of 11809200 is 290811.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 15222 + ... + 15978.

Almost surely, 2^11809200 is an apocalyptic number.

11809200 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 11809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396264).

11809200 is an abundant number, since it is smaller than the sum of its proper divisors (28983328).

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

11809200 is a wasteful number, since it uses less digits than its factorization.

11809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11809200 is about 3436.4516583243. The cubic root of 11809200 is about 227.7229629925.

The spelling of 11809200 in words is "eleven million, eight hundred nine thousand, two hundred".