8820256 has 48 divisors (see below), whose sum is σ = 18597600. Its totient is φ = 4105728.

The previous prime is 8820223. The next prime is 8820257. The reversal of 8820256 is 6520288.

It is not an unprimeable number, because it can be changed into a prime (8820257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54031 + ... + 54193.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 2^8820256 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 8820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298800).

8820256 is an abundant number, since it is smaller than the sum of its proper divisors (9777344).

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

8820256 is a wasteful number, since it uses less digits than its factorization.

8820256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8820256 is about 2969.8915805127. The cubic root of 8820256 is about 206.6143097802.

Subtracting from 8820256 its reverse (6520288), we obtain a cube (2299968 = 132³).

The spelling of 8820256 in words is "eight million, eight hundred twenty thousand, two hundred fifty-six".