8218340 has 48 divisors (see below), whose sum is σ = 18884208. Its totient is φ = 2985984.

The previous prime is 8218333. The next prime is 8218351. The reversal of 8218340 is 438128.

It can be written as a sum of positive squares in 8 ways, for example, as 1582564 + 6635776 = 1258^2 + 2576^2 .

It is a super-2 number, since 2×8218340² = 135082224711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18764 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (393421).

Almost surely, 2^8218340 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 8218340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442104).

8218340 is an abundant number, since it is smaller than the sum of its proper divisors (10665868).

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

8218340 is a wasteful number, since it uses less digits than its factorization.

8218340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8218340 is about 2866.7647270050. The cubic root of 8218340 is about 201.8031936050.

It can be divided in two parts, 8218 and 340, that added together give a palindrome (8558).

The spelling of 8218340 in words is "eight million, two hundred eighteen thousand, three hundred forty".