11006667 has 48 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 5757696.

The previous prime is 11006659. The next prime is 11006707. The reversal of 11006667 is 76660011.

It is not a de Polignac number, because 11006667 - 2³ = 11006659 is a prime.

It is a super-2 number, since 2×11006667² = 242293436897778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45934 + ... + 46172.

It is an arithmetic number, because the mean of its divisors is an integer number (411840).

Almost surely, 2^11006667 is an apocalyptic number.

11006667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11006667 is the 2709-th pentagonal number.

11006667 is a deficient number, since it is larger than the sum of its proper divisors (8761653).

11006667 is a wasteful number, since it uses less digits than its factorization.

11006667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11006667 is about 3317.6297261750. The cubic root of 11006667 is about 222.4429311197.

Adding to 11006667 its reverse (76660011), we get a palindrome (87666678).

The spelling of 11006667 in words is "eleven million, six thousand, six hundred sixty-seven".