11006016 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 2972160.

The previous prime is 11006011. The next prime is 11006027. The reversal of 11006016 is 61060011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11006016² = 242264776384512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005986 and 11006004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25321 + ... + 25751.

Almost surely, 2^11006016 is an apocalyptic number.

11006016 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 11006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

11006016 is an abundant number, since it is smaller than the sum of its proper divisors (24106944).

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

11006016 is a wasteful number, since it uses less digits than its factorization.

11006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11006016 is about 3317.5316125095. The cubic root of 11006016 is about 222.4385454989.

Adding to 11006016 its reverse (61060011), we get a palindrome (72066027).

The spelling of 11006016 in words is "eleven million, six thousand, sixteen".