11790168 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3294720.

The previous prime is 11790167. The next prime is 11790209. The reversal of 11790168 is 86109711.

It is a super-2 number, since 2×11790168² = 278016122936448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222430 + ... + 222482.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^11790168 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 11790168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11790168 is an abundant number, since it is smaller than the sum of its proper divisors (23046312).

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

11790168 is a wasteful number, since it uses less digits than its factorization.

11790168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11790168 is about 3433.6814063043. The cubic root of 11790168 is about 227.6005625535.

Adding to 11790168 its reverse (86109711), we get a palindrome (97899879).

The spelling of 11790168 in words is "eleven million, seven hundred ninety thousand, one hundred sixty-eight".