11616288 has 48 divisors (see below), whose sum is σ = 31824576. Its totient is φ = 3703040.

The previous prime is 11616263. The next prime is 11616307. The reversal of 11616288 is 88261611.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 423 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (663012).

Almost surely, 2^11616288 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 11616288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912288).

11616288 is an abundant number, since it is smaller than the sum of its proper divisors (20208288).

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

11616288 is a wasteful number, since it uses less digits than its factorization.

11616288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5289 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 11616288 is about 3408.2675951281. The cubic root of 11616288 is about 226.4761413207.

Adding to 11616288 its reverse (88261611), we get a palindrome (99877899).

The spelling of 11616288 in words is "eleven million, six hundred sixteen thousand, two hundred eighty-eight".