11800000 has 84 divisors (see below), whose sum is σ = 29763720. Its totient is φ = 4640000.

The previous prime is 11799979. The next prime is 11800001. The reversal of 11800000 is 811.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11800001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199971 + ... + 200029.

It is an arithmetic number, because the mean of its divisors is an integer number (354330).

Almost surely, 2^11800000 is an apocalyptic number.

11800000 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 11800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881860).

11800000 is an abundant number, since it is smaller than the sum of its proper divisors (17963720).

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

11800000 is an frugal number, since it uses more digits than its factorization.

11800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11800000 is about 3435.1128074635. The cubic root of 11800000 is about 227.6638114963.

Adding to 11800000 its reverse (811), we get a palindrome (11800811).

The spelling of 11800000 in words is "eleven million, eight hundred thousand".