11240640 has 112 divisors (see below), whose sum is σ = 39684960. Its totient is φ = 2995200.

The previous prime is 11240639. The next prime is 11240641. The reversal of 11240640 is 4604211.

11240640 is a `hidden beast` number, since 1 + 1 + 24 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11240639) and next prime (11240641).

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 (11240641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7990 + ... + 9290.

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

Almost surely, 2^11240640 is an apocalyptic number.

11240640 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 11240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

11240640 is an abundant number, since it is smaller than the sum of its proper divisors (28444320).

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

11240640 is a wasteful number, since it uses less digits than its factorization.

11240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

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

The square root of 11240640 is about 3352.7063694872. The cubic root of 11240640 is about 224.0080779400.

Adding to 11240640 its reverse (4604211), we get a palindrome (15844851).

The spelling of 11240640 in words is "eleven million, two hundred forty thousand, six hundred forty".