11800320 has 144 divisors (see below), whose sum is σ = 43169280. Its totient is φ = 2691072.

The previous prime is 11800319. The next prime is 11800339. The reversal of 11800320 is 2300811.

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 11800320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26661 + ... + 27099.

Almost surely, 2^11800320 is an apocalyptic number.

11800320 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 11800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584640).

11800320 is an abundant number, since it is smaller than the sum of its proper divisors (31368960).

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

11800320 is an equidigital number, since it uses as much as digits as its factorization.

11800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

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

The square root of 11800320 is about 3435.1593849485. The cubic root of 11800320 is about 227.6658694556.

The spelling of 11800320 in words is "eleven million, eight hundred thousand, three hundred twenty".