11643120 has 120 divisors (see below), whose sum is σ = 39732576. Its totient is φ = 3055104.

The previous prime is 11643109. The next prime is 11643133. The reversal of 11643120 is 2134611.

It is a happy number.

11643120 is a `hidden beast` number, since 1 + 1 + 643 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11643093 and 11643102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74082 + ... + 74238.

Almost surely, 2^11643120 is an apocalyptic number.

11643120 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 11643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866288).

11643120 is an abundant number, since it is smaller than the sum of its proper divisors (28089456).

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

11643120 is a wasteful number, since it uses less digits than its factorization.

11643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11643120 is about 3412.2016353082. The cubic root of 11643120 is about 226.6503832978.

Adding to 11643120 its reverse (2134611), we get a palindrome (13777731).

The spelling of 11643120 in words is "eleven million, six hundred forty-three thousand, one hundred twenty".