8211456 has 154 divisors (see below), whose sum is σ = 26848452. Its totient is φ = 2488320.

The previous prime is 8211433. The next prime is 8211457. The reversal of 8211456 is 6541128.

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

Its product of digits (1920) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (8211457) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746491 + ... + 746501.

Almost surely, 2^8211456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424226).

8211456 is an abundant number, since it is smaller than the sum of its proper divisors (18636996).

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

8211456 is an equidigital number, since it uses as much as digits as its factorization.

8211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 16 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8211456 is about 2865.5638188671. The cubic root of 8211456 is about 201.7468318072.

It can be divided in two parts, 8211 and 456, that multiplied together give a triangular number (3744216 = T₂₇₃₆).

The spelling of 8211456 in words is "eight million, two hundred eleven thousand, four hundred fifty-six".