11550240 has 144 divisors (see below), whose sum is σ = 42515928. Its totient is φ = 2838528.

The previous prime is 11550239. The next prime is 11550241. The reversal of 11550240 is 4205511.

It is an interprime number because it is at equal distance from previous prime (11550239) and next prime (11550241).

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 7817616 = 1932^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11550241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18412 + ... + 19028.

Almost surely, 2^11550240 is an apocalyptic number.

11550240 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 11550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257964).

11550240 is an abundant number, since it is smaller than the sum of its proper divisors (30965688).

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

11550240 is a wasteful number, since it uses less digits than its factorization.

11550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 11550240 is about 3398.5644028030. The cubic root of 11550240 is about 226.0460918339.

Adding to 11550240 its reverse (4205511), we get a palindrome (15755751).

The spelling of 11550240 in words is "eleven million, five hundred fifty thousand, two hundred forty".