11641168 has 60 divisors (see below), whose sum is σ = 28366240. Its totient is φ = 4530240.

The previous prime is 11641153. The next prime is 11641177. The reversal of 11641168 is 86114611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13123 + ... + 13981.

Almost surely, 2^11641168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183120).

11641168 is an abundant number, since it is smaller than the sum of its proper divisors (16725072).

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

11641168 is a wasteful number, since it uses less digits than its factorization.

11641168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 11641168 is about 3411.9155909840. The cubic root of 11641168 is about 226.6377164102.

Adding to 11641168 its reverse (86114611), we get a palindrome (97755779).

It can be divided in two parts, 1164 and 1168, that added together give a palindrome (2332).

The spelling of 11641168 in words is "eleven million, six hundred forty-one thousand, one hundred sixty-eight".