8227008 has 126 divisors (see below), whose sum is σ = 25564084. Its totient is φ = 2623104.

The previous prime is 8227007. The next prime is 8227033. The reversal of 8227008 is 8007228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8227003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 357685 + ... + 357707.

Almost surely, 2^8227008 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 8227008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782042).

8227008 is an abundant number, since it is smaller than the sum of its proper divisors (17337076).

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

8227008 is an equidigital number, since it uses as much as digits as its factorization.

8227008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8227008 is about 2868.2761373341. The cubic root of 8227008 is about 201.8741169083.

Multiplying 8227008 by its sum of digits (27), we get a square (222129216 = 14904²).

8227008 divided by its sum of digits (27) gives a square (304704 = 552²).

The spelling of 8227008 in words is "eight million, two hundred twenty-seven thousand, eight".