8090640 has 120 divisors (see below), whose sum is σ = 28812888. Its totient is φ = 2027520.

The previous prime is 8090639. The next prime is 8090647. The reversal of 8090640 is 460908.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 5308416 = 1668^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (8090647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11910 + ... + 12570.

Almost surely, 2^8090640 is an apocalyptic number.

8090640 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 8090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406444).

8090640 is an abundant number, since it is smaller than the sum of its proper divisors (20722248).

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

8090640 is a wasteful number, since it uses less digits than its factorization.

8090640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8090640 is about 2844.4050344492. The cubic root of 8090640 is about 200.7524985124.

The spelling of 8090640 in words is "eight million, ninety thousand, six hundred forty".