11783200 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3916800.

The previous prime is 11783197. The next prime is 11783201. The reversal of 11783200 is 238711.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11783201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114349 + ... + 114451.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^11783200 is an apocalyptic number.

11783200 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 11783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11783200 is an abundant number, since it is smaller than the sum of its proper divisors (22339616).

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

11783200 is a wasteful number, since it uses less digits than its factorization.

11783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11783200 is about 3432.6666019292. Note that the first 4 decimals coincide. The cubic root of 11783200 is about 227.5557163379. Note that the first 3 decimals are identical.

It can be divided in two parts, 117 and 83200, that multiplied together give a square (9734400 = 3120²).

The spelling of 11783200 in words is "eleven million, seven hundred eighty-three thousand, two hundred".