11971456 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 4953600.

The previous prime is 11971447. The next prime is 11971457. The reversal of 11971456 is 65417911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27561 + ... + 27991.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^11971456 is an apocalyptic number.

11971456 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 11971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

11971456 is an abundant number, since it is smaller than the sum of its proper divisors (16229504).

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

11971456 is an equidigital number, since it uses as much as digits as its factorization.

11971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 7560, while the sum is 34.

The square root of 11971456 is about 3459.9791906889. The cubic root of 11971456 is about 228.7611781492.

The spelling of 11971456 in words is "eleven million, nine hundred seventy-one thousand, four hundred fifty-six".