8244000 has 144 divisors (see below), whose sum is σ = 29385720. Its totient is φ = 2188800.

The previous prime is 8243971. The next prime is 8244001. The reversal of 8244000 is 4428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 3732624 = 2124^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8244001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35886 + ... + 36114.

Almost surely, 2^8244000 is an apocalyptic number.

8244000 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 8244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692860).

8244000 is an abundant number, since it is smaller than the sum of its proper divisors (21141720).

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

8244000 is a wasteful number, since it uses less digits than its factorization.

8244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8244000 is about 2871.2366673613. The cubic root of 8244000 is about 202.0130044237.

Adding to 8244000 its reverse (4428), we get a palindrome (8248428).

The spelling of 8244000 in words is "eight million, two hundred forty-four thousand".