11126268 has 48 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 3654000.

The previous prime is 11126249. The next prime is 11126287. The reversal of 11126268 is 86262111.

It is an interprime number because it is at equal distance from previous prime (11126249) and next prime (11126287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 2^11126268 is an apocalyptic number.

11126268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

11126268 is an abundant number, since it is smaller than the sum of its proper divisors (18146052).

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

11126268 is a wasteful number, since it uses less digits than its factorization.

11126268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11126268 is about 3335.6060918520. The cubic root of 11126268 is about 223.2457358005.

Adding to 11126268 its reverse (86262111), we get a palindrome (97388379).

The spelling of 11126268 in words is "eleven million, one hundred twenty-six thousand, two hundred sixty-eight".