11005664 has 24 divisors (see below), whose sum is σ = 22943088. Its totient is φ = 5178880.

The previous prime is 11005649. The next prime is 11005669. The reversal of 11005664 is 46650011.

It is a super-2 number, since 2×11005664² = 242249280161792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9572 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (955962).

Almost surely, 2^11005664 is an apocalyptic number.

It is an amenable number.

11005664 is an abundant number, since it is smaller than the sum of its proper divisors (11937424).

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

11005664 is a wasteful number, since it uses less digits than its factorization.

11005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20258 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 11005664 is about 3317.4785605939. The cubic root of 11005664 is about 222.4361740927.

Adding to 11005664 its reverse (46650011), we get a palindrome (57655675).

The spelling of 11005664 in words is "eleven million, five thousand, six hundred sixty-four".