8220456 has 96 divisors (see below), whose sum is σ = 23961600. Its totient is φ = 2540160.

The previous prime is 8220419. The next prime is 8220461. The reversal of 8220456 is 6540228.

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, 64665 + ... + 64791.

It is an arithmetic number, because the mean of its divisors is an integer number (249600).

Almost surely, 2^8220456 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 8220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980800).

8220456 is an abundant number, since it is smaller than the sum of its proper divisors (15741144).

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

8220456 is a wasteful number, since it uses less digits than its factorization.

8220456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8220456 is about 2867.1337603956. The cubic root of 8220456 is about 201.8205117379.

The spelling of 8220456 in words is "eight million, two hundred twenty thousand, four hundred fifty-six".