11643360 has 96 divisors (see below), whose sum is σ = 37158912. Its totient is φ = 3064320.

The previous prime is 11643353. The next prime is 11643367. The reversal of 11643360 is 6334611.

It is an interprime number because it is at equal distance from previous prime (11643353) and next prime (11643367).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11643360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11643367) 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, 60865 + ... + 61055.

It is an arithmetic number, because the mean of its divisors is an integer number (387072).

Almost surely, 2^11643360 is an apocalyptic number.

11643360 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 11643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579456).

11643360 is an abundant number, since it is smaller than the sum of its proper divisors (25515552).

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

11643360 is a wasteful number, since it uses less digits than its factorization.

11643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 11643360 is about 3412.2368030370. The cubic root of 11643360 is about 226.6519406042.

Adding to 11643360 its reverse (6334611), we get a palindrome (17977971).

The spelling of 11643360 in words is "eleven million, six hundred forty-three thousand, three hundred sixty".