8280384 has 112 divisors (see below), whose sum is σ = 25700736. Its totient is φ = 2304000.

The previous prime is 8280373. The next prime is 8280397. The reversal of 8280384 is 4830828.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81934 + ... + 82034.

Almost surely, 2^8280384 is an apocalyptic number.

8280384 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 8280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850368).

8280384 is an abundant number, since it is smaller than the sum of its proper divisors (17420352).

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

8280384 is a wasteful number, since it uses less digits than its factorization.

8280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8280384 is about 2877.5656378265. The cubic root of 8280384 is about 202.3097557870.

The spelling of 8280384 in words is "eight million, two hundred eighty thousand, three hundred eighty-four".