8284160 has 48 divisors (see below), whose sum is σ = 19901700. Its totient is φ = 3309568.

The previous prime is 8284153. The next prime is 8284181. The reversal of 8284160 is 614828.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 173056 = 2848^2 + 416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9836 + ... + 10644.

Almost surely, 2^8284160 is an apocalyptic number.

8284160 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 8284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950850).

8284160 is an abundant number, since it is smaller than the sum of its proper divisors (11617540).

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

8284160 is an equidigital number, since it uses as much as digits as its factorization.

8284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8284160 is about 2878.2216731864. The cubic root of 8284160 is about 202.3405033766.

Adding to 8284160 its reverse (614828), we get a palindrome (8898988).

The spelling of 8284160 in words is "eight million, two hundred eighty-four thousand, one hundred sixty".