11005440 has 80 divisors (see below), whose sum is σ = 35207568. Its totient is φ = 2932736.

The previous prime is 11005433. The next prime is 11005459. The reversal of 11005440 is 4450011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11005440² = 242239419187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6964 + ... + 8396.

Almost surely, 2^11005440 is an apocalyptic number.

11005440 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 11005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603784).

11005440 is an abundant number, since it is smaller than the sum of its proper divisors (24202128).

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

11005440 is an equidigital number, since it uses as much as digits as its factorization.

11005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11005440 is about 3317.4447998422. Note that the first 3 decimals coincide. The cubic root of 11005440 is about 222.4346649897.

Adding to 11005440 its reverse (4450011), we get a palindrome (15455451).

The spelling of 11005440 in words is "eleven million, five thousand, four hundred forty".