8388480 has 128 divisors (see below), whose sum is σ = 28421280. Its totient is φ = 2097152.

The previous prime is 8388473. The next prime is 8388539. The reversal of 8388480 is 848838.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 8388480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32512 + ... + 32768.

Almost surely, 2^8388480 is an apocalyptic number.

8388480 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 8388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210640).

8388480 is an abundant number, since it is smaller than the sum of its proper divisors (20032800).

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

8388480 is a wasteful number, since it uses less digits than its factorization.

8388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 8388480 is about 2896.2872785689. The cubic root of 8388480 is about 203.1863011824.

The spelling of 8388480 in words is "eight million, three hundred eighty-eight thousand, four hundred eighty".