8824640 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 3041280.

The previous prime is 8824639. The next prime is 8824667. The reversal of 8824640 is 464288.

It is a super-2 number, since 2×8824640² = 155748542259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8824597 and 8824606.

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, 80906 + ... + 81014.

Almost surely, 2^8824640 is an apocalyptic number.

8824640 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 8824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

8824640 is an abundant number, since it is smaller than the sum of its proper divisors (15315520).

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

8824640 is a wasteful number, since it uses less digits than its factorization.

8824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8824640 is about 2970.6295629041. The cubic root of 8824640 is about 206.6485358126.

The spelling of 8824640 in words is "eight million, eight hundred twenty-four thousand, six hundred forty".