8284960 has 48 divisors (see below), whose sum is σ = 19962936. Its totient is φ = 3248128.

The previous prime is 8284951. The next prime is 8284961. The reversal of 8284960 is 694828.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 59536 = 2868^2 + 244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8284961) 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, 7992 + ... + 8968.

Almost surely, 2^8284960 is an apocalyptic number.

8284960 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 8284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981468).

8284960 is an abundant number, since it is smaller than the sum of its proper divisors (11677976).

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

8284960 is a wasteful number, since it uses less digits than its factorization.

8284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8284960 is about 2878.3606445336. The cubic root of 8284960 is about 202.3470164969.

The spelling of 8284960 in words is "eight million, two hundred eighty-four thousand, nine hundred sixty".