11822240 has 48 divisors (see below), whose sum is σ = 28699272. Its totient is φ = 4598784.

The previous prime is 11822231. The next prime is 11822269. The reversal of 11822240 is 4222811.

11822240 = T₂₀₉ + T₂₁₀ + ... + T₄₃₀.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 3225616 = 2932^2 + 1796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4922 + ... + 6918.

Almost surely, 2^11822240 is an apocalyptic number.

11822240 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 11822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349636).

11822240 is an abundant number, since it is smaller than the sum of its proper divisors (16877032).

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

11822240 is a wasteful number, since it uses less digits than its factorization.

11822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 11822240 is about 3438.3484407488. The cubic root of 11822240 is about 227.8067512002.

The spelling of 11822240 in words is "eleven million, eight hundred twenty-two thousand, two hundred forty".