11522016 has 72 divisors (see below), whose sum is σ = 35754264. Its totient is φ = 3490560.

The previous prime is 11522009. The next prime is 11522023. The reversal of 11522016 is 61022511.

It is an interprime number because it is at equal distance from previous prime (11522009) and next prime (11522023).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11522016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (496587).

Almost surely, 2^11522016 is an apocalyptic number.

11522016 is a gapful number since it is divisible by the number (16) 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 11522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877132).

11522016 is an abundant number, since it is smaller than the sum of its proper divisors (24232248).

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

11522016 is a wasteful number, since it uses less digits than its factorization.

11522016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11522016 is about 3394.4095215516. The cubic root of 11522016 is about 225.8618206674.

Adding to 11522016 its reverse (61022511), we get a palindrome (72544527).

The spelling of 11522016 in words is "eleven million, five hundred twenty-two thousand, sixteen".