11266848 has 144 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3386880.

The previous prime is 11266847. The next prime is 11266859. The reversal of 11266848 is 84866211.

11266848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11266847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158653 + ... + 158723.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^11266848 is an apocalyptic number.

11266848 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 11266848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

11266848 is an abundant number, since it is smaller than the sum of its proper divisors (24113952).

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

11266848 is a wasteful number, since it uses less digits than its factorization.

11266848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11266848 is about 3356.6125781806. The cubic root of 11266848 is about 224.1820373983.

The spelling of 11266848 in words is "eleven million, two hundred sixty-six thousand, eight hundred forty-eight".