11716488 has 168 divisors, whose sum is σ = 39249630. Its totient is φ = 3265920.

The previous prime is 11716487. The next prime is 11716501. The reversal of 11716488 is 88461711.

11716488 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 648 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11573604 + 142884 = 3402^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (11716487) 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 41 ways as a sum of consecutive naturals, for example, 285748 + ... + 285788.

Almost surely, 2^11716488 is an apocalyptic number.

11716488 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 11716488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624815).

11716488 is an abundant number, since it is smaller than the sum of its proper divisors (27533142).

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

11716488 is an equidigital number, since it uses as much as digits as its factorization.

11716488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 11716488 is about 3422.9355822159. The cubic root of 11716488 is about 227.1254586684.

The spelling of 11716488 in words is "eleven million, seven hundred sixteen thousand, four hundred eighty-eight".