8348256 has 144 divisors (see below), whose sum is σ = 28068768. Its totient is φ = 2304000.

The previous prime is 8348243. The next prime is 8348261. The reversal of 8348256 is 6528438.

8348256 is digitally balanced in base 4, 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 self number, because there is not a number n which added to its sum of digits gives 8348256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82606 + ... + 82706.

It is an arithmetic number, because the mean of its divisors is an integer number (194922).

Almost surely, 2^8348256 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 8348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384).

8348256 is an abundant number, since it is smaller than the sum of its proper divisors (19720512).

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

8348256 is a wasteful number, since it uses less digits than its factorization.

8348256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8348256 is about 2889.3348715578. The cubic root of 8348256 is about 202.8610112524.

It can be divided in two parts, 83482 and 56, that added together give a palindrome (83538).

The spelling of 8348256 in words is "eight million, three hundred forty-eight thousand, two hundred fifty-six".