11306016 has 72 divisors (see below), whose sum is σ = 33051564. Its totient is φ = 3663360.

The previous prime is 11305999. The next prime is 11306017. The reversal of 11306016 is 61060311.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 1040400 = 3204^2 + 1020^2 .

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 11306016.

It is not an unprimeable number, because it can be changed into a prime (11306017) 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 11 ways as a sum of consecutive naturals, for example, 10126 + ... + 11186.

Almost surely, 2^11306016 is an apocalyptic number.

11306016 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 11306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525782).

11306016 is an abundant number, since it is smaller than the sum of its proper divisors (21745548).

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

11306016 is a wasteful number, since it uses less digits than its factorization.

11306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11306016 is about 3362.4419697595. The cubic root of 11306016 is about 224.4415186220.

Adding to 11306016 its reverse (61060311), we get a palindrome (72366327).

The spelling of 11306016 in words is "eleven million, three hundred six thousand, sixteen".