8284140 has 144 divisors (see below), whose sum is σ = 27871200. Its totient is φ = 2040192.

The previous prime is 8284127. The next prime is 8284141. The reversal of 8284140 is 414828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8284141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285646 + ... + 285674.

It is an arithmetic number, because the mean of its divisors is an integer number (193550).

Almost surely, 2^8284140 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 8284140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935600).

8284140 is an abundant number, since it is smaller than the sum of its proper divisors (19587060).

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

8284140 is a wasteful number, since it uses less digits than its factorization.

8284140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8284140 is about 2878.2181988168. The cubic root of 8284140 is about 202.3403405432.

Adding to 8284140 its reverse (414828), we get a palindrome (8698968).

The spelling of 8284140 in words is "eight million, two hundred eighty-four thousand, one hundred forty".