8282904 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2313984.

The previous prime is 8282903. The next prime is 8282941. The reversal of 8282904 is 4092828.

8282904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7372 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^8282904 is an apocalyptic number.

8282904 is a gapful number since it is divisible by the number (84) 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 8282904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

8282904 is an abundant number, since it is smaller than the sum of its proper divisors (15909096).

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

8282904 is a wasteful number, since it uses less digits than its factorization.

8282904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8282904 is about 2878.0034746331. The cubic root of 8282904 is about 202.3302769317.

The spelling of 8282904 in words is "eight million, two hundred eighty-two thousand, nine hundred four".