8029440 has 216 divisors, whose sum is σ = 30132648. Its totient is φ = 1966080.

The previous prime is 8029421. The next prime is 8029471. The reversal of 8029440 is 449208.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 7750656 = 528^2 + 2784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195820 + ... + 195860.

It is an arithmetic number, because the mean of its divisors is an integer number (139503).

Almost surely, 2^8029440 is an apocalyptic number.

8029440 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 8029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066324).

8029440 is an abundant number, since it is smaller than the sum of its proper divisors (22103208).

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

8029440 is a wasteful number, since it uses less digits than its factorization.

8029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8029440 is about 2833.6266514839. The cubic root of 8029440 is about 200.2450330049.

The spelling of 8029440 in words is "eight million, twenty-nine thousand, four hundred forty".