8884320 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 2330112.

The previous prime is 8884303. The next prime is 8884339. The reversal of 8884320 is 234888.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8884320² = 157862283724800, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39729 + ... + 39951.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^8884320 is an apocalyptic number.

8884320 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 8884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

8884320 is an abundant number, since it is smaller than the sum of its proper divisors (19565472).

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

8884320 is a wasteful number, since it uses less digits than its factorization.

8884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

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

The square root of 8884320 is about 2980.6576455541. The cubic root of 8884320 is about 207.1133361475.

The spelling of 8884320 in words is "eight million, eight hundred eighty-four thousand, three hundred twenty".