11005264 has 10 divisors (see below), whose sum is σ = 21322730. Its totient is φ = 5502624.

The previous prime is 11005259. The next prime is 11005277. The reversal of 11005264 is 46250011.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 1345600 = 3108^2 + 1160^2 .

It is a super-2 number, since 2×11005264² = 242231671419392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 343899 + ... + 343930.

It is an arithmetic number, because the mean of its divisors is an integer number (2132273).

Almost surely, 2^11005264 is an apocalyptic number.

It is an amenable number.

11005264 is a deficient number, since it is larger than the sum of its proper divisors (10317466).

11005264 is an equidigital number, since it uses as much as digits as its factorization.

11005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687837 (or 687831 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11005264 is about 3317.4182732963. The cubic root of 11005264 is about 222.4334792516.

Adding to 11005264 its reverse (46250011), we get a palindrome (57255275).

The spelling of 11005264 in words is "eleven million, five thousand, two hundred sixty-four".