11006000 has 40 divisors (see below), whose sum is σ = 26617344. Its totient is φ = 4401600.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11006000 is 60011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11006000² = 242264072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752 + ... + 4751.

Almost surely, 2^11006000 is an apocalyptic number.

11006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006000 is an abundant number, since it is smaller than the sum of its proper divisors (15611344).

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

11006000 is an equidigital number, since it uses as much as digits as its factorization.

11006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11006000 is about 3317.5292010772. The cubic root of 11006000 is about 222.4384377088.

Adding to 11006000 its reverse (60011), we get a palindrome (11066011).

It can be divided in two parts, 1 and 1006000, that added together give a palindrome (1006001).

The spelling of 11006000 in words is "eleven million, six thousand".