11005640 has 32 divisors (see below), whose sum is σ = 24857280. Its totient is φ = 4385472.

The previous prime is 11005637. The next prime is 11005649. The reversal of 11005640 is 4650011.

It is a happy number.

It is a super-2 number, since 2×11005640² = 242248223619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19847 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (776790).

Almost surely, 2^11005640 is an apocalyptic number.

11005640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005640 is an abundant number, since it is smaller than the sum of its proper divisors (13851640).

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

11005640 is a wasteful number, since it uses less digits than its factorization.

11005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11005640 is about 3317.4749433869. The cubic root of 11005640 is about 222.4360124041.

Adding to 11005640 its reverse (4650011), we get a palindrome (15655651).

The spelling of 11005640 in words is "eleven million, five thousand, six hundred forty".