8388640 has 96 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 2985984.

The previous prime is 8388637. The next prime is 8388673. The reversal of 8388640 is 468838.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 3671056 = 2172^2 + 1916^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 8388640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76906 + ... + 77014.

Almost surely, 2^8388640 is an apocalyptic number.

8388640 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 8388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

8388640 is an abundant number, since it is smaller than the sum of its proper divisors (13731920).

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

8388640 is a wasteful number, since it uses less digits than its factorization.

8388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8388640 is about 2896.3149000066. The cubic root of 8388640 is about 203.1875930177.

The spelling of 8388640 in words is "eight million, three hundred eighty-eight thousand, six hundred forty".