11361168 has 240 divisors, whose sum is σ = 42636160. Its totient is φ = 2820096.

The previous prime is 11361157. The next prime is 11361173. The reversal of 11361168 is 86116311.

11361168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11361168² = 258152276648448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668296 + ... + 668312.

Almost surely, 2^11361168 is an apocalyptic number.

11361168 is a gapful number since it is divisible by the number (18) 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 11361168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318080).

11361168 is an abundant number, since it is smaller than the sum of its proper divisors (31274992).

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

11361168 is a wasteful number, since it uses less digits than its factorization.

11361168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11361168 is about 3370.6331749391. The cubic root of 11361168 is about 224.8058770093.

Adding to 11361168 its reverse (86116311), we get a palindrome (97477479).

It can be divided in two parts, 1136 and 1168, that added together give a square (2304 = 48²).

The spelling of 11361168 in words is "eleven million, three hundred sixty-one thousand, one hundred sixty-eight".