11042816 has 32 divisors (see below), whose sum is σ = 22150830. Its totient is φ = 5505024.

The previous prime is 11042813. The next prime is 11042831. The reversal of 11042816 is 61824011.

It can be written as a sum of positive squares in only one way, i.e., 10240000 + 802816 = 3200^2 + 896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11042791 and 11042800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32600 + ... + 32936.

Almost surely, 2^11042816 is an apocalyptic number.

11042816 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 11042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075415).

11042816 is an abundant number, since it is smaller than the sum of its proper divisors (11108014).

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

11042816 is an frugal number, since it uses more digits than its factorization.

11042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11042816 is about 3323.0732763513. The cubic root of 11042816 is about 222.6861867900.

Adding to 11042816 its reverse (61824011), we get a palindrome (72866827).

The spelling of 11042816 in words is "eleven million, forty-two thousand, eight hundred sixteen".