11803200 has 84 divisors (see below), whose sum is σ = 38740080. Its totient is φ = 3146240.

The previous prime is 11803171. The next prime is 11803213. The reversal of 11803200 is 230811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11803200.

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, 3571 + ... + 6029.

Almost surely, 2^11803200 is an apocalyptic number.

11803200 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 11803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370040).

11803200 is an abundant number, since it is smaller than the sum of its proper divisors (26936880).

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

11803200 is a wasteful number, since it uses less digits than its factorization.

11803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11803200 is about 3435.5785538974. The cubic root of 11803200 is about 227.6843894158.

The spelling of 11803200 in words is "eleven million, eight hundred three thousand, two hundred".