8213120 has 64 divisors (see below), whose sum is σ = 20177640. Its totient is φ = 3194880.

The previous prime is 8213089. The next prime is 8213123. The reversal of 8213120 is 213128.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 6512704 = 1304^2 + 2552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8213123) 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, 26084 + ... + 26396.

Almost surely, 2^8213120 is an apocalyptic number.

8213120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088820).

8213120 is an abundant number, since it is smaller than the sum of its proper divisors (11964520).

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

8213120 is a wasteful number, since it uses less digits than its factorization.

8213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8213120 is about 2865.8541484172. The cubic root of 8213120 is about 201.7604584630.

Adding to 8213120 its reverse (213128), we get a palindrome (8426248).

The spelling of 8213120 in words is "eight million, two hundred thirteen thousand, one hundred twenty".