11006416 has 10 divisors (see below), whose sum is σ = 21324962. Its totient is φ = 5503200.

The previous prime is 11006389. The next prime is 11006419. The reversal of 11006416 is 61460011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10916416 + 90000 = 3304^2 + 300^2 .

It is a super-2 number, since 2×11006416² = 242282386330112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006393 and 11006402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343935 + ... + 343966.

Almost surely, 2^11006416 is an apocalyptic number.

11006416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11006416 is a deficient number, since it is larger than the sum of its proper divisors (10318546).

11006416 is an equidigital number, since it uses as much as digits as its factorization.

11006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687909 (or 687903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11006416 is about 3317.5918977475. The cubic root of 11006416 is about 222.4412402173.

Adding to 11006416 its reverse (61460011), we get a palindrome (72466427).

The spelling of 11006416 in words is "eleven million, six thousand, four hundred sixteen".