8920640 has 56 divisors (see below), whose sum is σ = 21637752. Its totient is φ = 3502080.

The previous prime is 8920609. The next prime is 8920649. The reversal of 8920640 is 460298.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 8479744 = 664^2 + 2912^2 .

It is not an unprimeable number, because it can be changed into a prime (8920649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19292 + ... + 19748.

Almost surely, 2^8920640 is an apocalyptic number.

8920640 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 8920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10818876).

8920640 is an abundant number, since it is smaller than the sum of its proper divisors (12717112).

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

8920640 is a wasteful number, since it uses less digits than its factorization.

8920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 8920640 is about 2986.7440466166. The cubic root of 8920640 is about 207.3951858508.

The spelling of 8920640 in words is "eight million, nine hundred twenty thousand, six hundred forty".