11365640 has 64 divisors (see below), whose sum is σ = 30058560. Its totient is φ = 3813120.

The previous prime is 11365637. The next prime is 11365649. The reversal of 11365640 is 4656311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11365649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4727 + ... + 6713.

It is an arithmetic number, because the mean of its divisors is an integer number (469665).

Almost surely, 2^11365640 is an apocalyptic number.

11365640 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 11365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029280).

11365640 is an abundant number, since it is smaller than the sum of its proper divisors (18692920).

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

11365640 is a wasteful number, since it uses less digits than its factorization.

11365640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 11365640 is about 3371.2964865167. The cubic root of 11365640 is about 224.8353692823.

It can be divided in two parts, 1136 and 5640, that added together give a palindrome (6776).

The spelling of 11365640 in words is "eleven million, three hundred sixty-five thousand, six hundred forty".