8229440 has 28 divisors (see below), whose sum is σ = 19597116. Its totient is φ = 3291648.

The previous prime is 8229439. The next prime is 8229443. The reversal of 8229440 is 449228.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 4293184 = 1984^2 + 2072^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8229443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12539 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (699897).

Almost surely, 2^8229440 is an apocalyptic number.

8229440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8229440 is an abundant number, since it is smaller than the sum of its proper divisors (11367676).

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

8229440 is a wasteful number, since it uses less digits than its factorization.

8229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25734 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8229440 is about 2868.7000540314. The cubic root of 8229440 is about 201.8940070670.

The spelling of 8229440 in words is "eight million, two hundred twenty-nine thousand, four hundred forty".