11271456 has 72 divisors (see below), whose sum is σ = 36638784. Its totient is φ = 3219840.

The previous prime is 11271439. The next prime is 11271467. The reversal of 11271456 is 65417211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (508872).

Almost surely, 2^11271456 is an apocalyptic number.

11271456 is a gapful number since it is divisible by the number (16) 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 11271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319392).

11271456 is an abundant number, since it is smaller than the sum of its proper divisors (25367328).

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

11271456 is a wasteful number, since it uses less digits than its factorization.

11271456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5603 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11271456 is about 3357.2989143060. The cubic root of 11271456 is about 224.2125957830.

Adding to 11271456 its reverse (65417211), we get a palindrome (76688667).

The spelling of 11271456 in words is "eleven million, two hundred seventy-one thousand, four hundred fifty-six".