11001040 has 40 divisors (see below), whose sum is σ = 27085320. Its totient is φ = 4141056.

The previous prime is 11001037. The next prime is 11001049. The reversal of 11001040 is 4010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 10810944 = 436^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2685 + ... + 5404.

It is an arithmetic number, because the mean of its divisors is an integer number (677133).

Almost surely, 2^11001040 is an apocalyptic number.

11001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001040 is an abundant number, since it is smaller than the sum of its proper divisors (16084280).

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

11001040 is a wasteful number, since it uses less digits than its factorization.

11001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11001040 is about 3316.7815725489. The cubic root of 11001040 is about 222.4050177430.

Adding to 11001040 its reverse (4010011), we get a palindrome (15011051).

The spelling of 11001040 in words is "eleven million, one thousand, forty".