8214220 has 48 divisors (see below), whose sum is σ = 20579328. Its totient is φ = 2692800.

The previous prime is 8214211. The next prime is 8214223. The reversal of 8214220 is 224128.

It is not an unprimeable number, because it can be changed into a prime (8214223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945 + ... + 4495.

It is an arithmetic number, because the mean of its divisors is an integer number (428736).

Almost surely, 2^8214220 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 8214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289664).

8214220 is an abundant number, since it is smaller than the sum of its proper divisors (12365108).

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

8214220 is a wasteful number, since it uses less digits than its factorization.

8214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8214220 is about 2866.0460568525. The cubic root of 8214220 is about 201.7694654582.

Adding to 8214220 its reverse (224128), we get a palindrome (8438348).

It can be divided in two parts, 821 and 4220, that added together give a square (5041 = 71²).

The spelling of 8214220 in words is "eight million, two hundred fourteen thousand, two hundred twenty".