11006268 has 48 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 2902464.

The previous prime is 11006251. The next prime is 11006269. The reversal of 11006268 is 86260011.

It is a super-3 number, since 3×11006268³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3948 + ... + 6131.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 2^11006268 is an apocalyptic number.

It is an amenable number.

11006268 is an abundant number, since it is smaller than the sum of its proper divisors (20604612).

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

11006268 is a wasteful number, since it uses less digits than its factorization.

11006268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11006268 is about 3317.5695923371. The cubic root of 11006268 is about 222.4402431791.

Adding to 11006268 its reverse (86260011), we get a palindrome (97266279).

The spelling of 11006268 in words is "eleven million, six thousand, two hundred sixty-eight".