8444736 has 98 divisors (see below), whose sum is σ = 25263602. Its totient is φ = 2799360.

The previous prime is 8444731. The next prime is 8444773. The reversal of 8444736 is 6374448.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 3779136 = 2160^2 + 1944^2 .

It is a super-2 number, since 2×8444736² = 142627132219392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8444736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444731) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46566 + ... + 46746.

Almost surely, 2^8444736 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 8444736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631801).

8444736 is an abundant number, since it is smaller than the sum of its proper divisors (16818866).

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

8444736 is an equidigital number, since it uses as much as digits as its factorization.

8444736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 8444736 is about 2905.9827941679. The cubic root of 8444736 is about 203.6395017296.

It can be divided in two parts, 8444 and 736, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8444736 in words is "eight million, four hundred forty-four thousand, seven hundred thirty-six".