11840000 has 100 divisors (see below), whose sum is σ = 30360594. Its totient is φ = 4608000.

The previous prime is 11839999. The next prime is 11840011. The reversal of 11840000 is 4811.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1290496 + 10549504 = 1136^2 + 3248^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319982 + ... + 320018.

Almost surely, 2^11840000 is an apocalyptic number.

11840000 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 11840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180297).

11840000 is an abundant number, since it is smaller than the sum of its proper divisors (18520594).

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

11840000 is an frugal number, since it uses more digits than its factorization.

11840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11840000 is about 3440.9301068171. The cubic root of 11840000 is about 227.9207686122.

Adding to 11840000 its reverse (4811), we get a palindrome (11844811).

The spelling of 11840000 in words is "eleven million, eight hundred forty thousand".