8444840 has 32 divisors (see below), whose sum is σ = 19317960. Its totient is φ = 3321600.

The previous prime is 8444831. The next prime is 8444851. The reversal of 8444840 is 484448.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3034564 + 5410276 = 1742^2 + 2326^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8444797 and 8444806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710 + ... + 4170.

Almost surely, 2^8444840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658980).

8444840 is an abundant number, since it is smaller than the sum of its proper divisors (10873120).

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

8444840 is a wasteful number, since it uses less digits than its factorization.

8444840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8444840 is about 2906.0006882312. Note that the first 3 decimals coincide. The cubic root of 8444840 is about 203.6403376911.

The spelling of 8444840 in words is "eight million, four hundred forty-four thousand, eight hundred forty".