8224160 has 72 divisors (see below), whose sum is σ = 22623300. Its totient is φ = 2817024.

The previous prime is 8224157. The next prime is 8224163. The reversal of 8224160 is 614228.

8224160 = T₃₆₅ + T₃₆₆ + ... + T₄₆₀.

It is an interprime number because it is at equal distance from previous prime (8224157) and next prime (8224163).

It can be written as a sum of positive squares in 2 ways, for example, as 7997584 + 226576 = 2828^2 + 476^2 .

It is not an unprimeable number, because it can be changed into a prime (8224163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7316 + ... + 8364.

Almost surely, 2^8224160 is an apocalyptic number.

8224160 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 8224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311650).

8224160 is an abundant number, since it is smaller than the sum of its proper divisors (14399140).

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

8224160 is a wasteful number, since it uses less digits than its factorization.

8224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8224160 is about 2867.7796289115. The cubic root of 8224160 is about 201.8508195022.

Adding to 8224160 its reverse (614228), we get a palindrome (8838388).

It can be divided in two parts, 82 and 24160, that added together give a palindrome (24242).

The spelling of 8224160 in words is "eight million, two hundred twenty-four thousand, one hundred sixty".