11006640 has 60 divisors (see below), whose sum is σ = 36966384. Its totient is φ = 2934912.

The previous prime is 11006629. The next prime is 11006647. The reversal of 11006640 is 4660011.

11006640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 664 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11006640² = 242292248179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11006647) 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 in 11 ways as a sum of consecutive naturals, for example, 6924 + ... + 8363.

Almost surely, 2^11006640 is an apocalyptic number.

11006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006640 is an abundant number, since it is smaller than the sum of its proper divisors (25959744).

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

11006640 is a wasteful number, since it uses less digits than its factorization.

11006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11006640 is about 3317.6256570023. The cubic root of 11006640 is about 222.4427492310.

Adding to 11006640 its reverse (4660011), we get a palindrome (15666651).

The spelling of 11006640 in words is "eleven million, six thousand, six hundred forty".