11716264 has 64 divisors (see below), whose sum is σ = 27509760. Its totient is φ = 4561920.

The previous prime is 11716231. The next prime is 11716267. The reversal of 11716264 is 46261711.

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

It is not an unprimeable number, because it can be changed into a prime (11716267) 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 15 ways as a sum of consecutive naturals, for example, 29314 + ... + 29710.

It is an arithmetic number, because the mean of its divisors is an integer number (429840).

Almost surely, 2^11716264 is an apocalyptic number.

11716264 is a gapful number since it is divisible by the number (14) 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 11716264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754880).

11716264 is an abundant number, since it is smaller than the sum of its proper divisors (15793496).

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

11716264 is a wasteful number, since it uses less digits than its factorization.

11716264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 11716264 is about 3422.9028616074. The cubic root of 11716264 is about 227.1240112373.

Adding to 11716264 its reverse (46261711), we get a palindrome (57977975).

The spelling of 11716264 in words is "eleven million, seven hundred sixteen thousand, two hundred sixty-four".