11027016 has 320 divisors, whose sum is σ = 43908480. Its totient is φ = 2488320.

The previous prime is 11026987. The next prime is 11027017. The reversal of 11027016 is 61072011.

11027016 = 10³ + 11³ + ... + 81³.

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 11027016.

It is not an unprimeable number, because it can be changed into a prime (11027017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648640 + ... + 648656.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 2^11027016 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 11027016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

11027016 is an abundant number, since it is smaller than the sum of its proper divisors (32881464).

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

11027016 is a wasteful number, since it uses less digits than its factorization.

11027016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11027016 is about 3320.6951079556. The cubic root of 11027016 is about 222.5799300422.

Adding to 11027016 its reverse (61072011), we get a palindrome (72099027).

It can be divided in two parts, 1102 and 7016, that added together give a palindrome (8118).

The spelling of 11027016 in words is "eleven million, twenty-seven thousand, sixteen".