11003640 has 64 divisors (see below), whose sum is σ = 33730560. Its totient is φ = 2870400.

The previous prime is 11003639. The next prime is 11003653. The reversal of 11003640 is 4630011.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4665 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (527040).

Almost surely, 2^11003640 is an apocalyptic number.

11003640 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 11003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280).

11003640 is an abundant number, since it is smaller than the sum of its proper divisors (22726920).

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

11003640 is a wasteful number, since it uses less digits than its factorization.

11003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11003640 is about 3317.1734956134. The cubic root of 11003640 is about 222.4225375259.

Adding to 11003640 its reverse (4630011), we get a palindrome (15633651).

The spelling of 11003640 in words is "eleven million, three thousand, six hundred forty".