11262240 has 240 divisors, whose sum is σ = 43908480. Its totient is φ = 2695680.

The previous prime is 11262227. The next prime is 11262241. The reversal of 11262240 is 4226211.

11262240 is a `hidden beast` number, since 1 + 1 + 2 + 622 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×11262240³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11262241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142521 + ... + 142599.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^11262240 is an apocalyptic number.

11262240 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 11262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

11262240 is an abundant number, since it is smaller than the sum of its proper divisors (32646240).

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

11262240 is a wasteful number, since it uses less digits than its factorization.

11262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11262240 is about 3355.9261016894. The cubic root of 11262240 is about 224.1514706804.

Adding to 11262240 its reverse (4226211), we get a palindrome (15488451).

The spelling of 11262240 in words is "eleven million, two hundred sixty-two thousand, two hundred forty".