11000440 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3822720.

The previous prime is 11000419. The next prime is 11000441. The reversal of 11000440 is 4400011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000441) 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, 9577 + ... + 10663.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^11000440 is an apocalyptic number.

11000440 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 11000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

11000440 is an abundant number, since it is smaller than the sum of its proper divisors (17200520).

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

11000440 is a wasteful number, since it uses less digits than its factorization.

11000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11000440 is about 3316.6911221879. The cubic root of 11000440 is about 222.4009743242.

Adding to 11000440 its reverse (4400011), we get a palindrome (15400451).

It can be divided in two parts, 11000 and 440, that multiplied together give a square (4840000 = 2200²).

The spelling of 11000440 in words is "eleven million, four hundred forty", and thus it is an aban number.