8130444 has 48 divisors (see below), whose sum is σ = 21858816. Its totient is φ = 2304000.

The previous prime is 8130439. The next prime is 8130449. The reversal of 8130444 is 4440318.

It is an interprime number because it is at equal distance from previous prime (8130439) and next prime (8130449).

It is a super-2 number, since 2×8130444² = 132208239274272, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (8130449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12364 + ... + 13004.

It is an arithmetic number, because the mean of its divisors is an integer number (455392).

Almost surely, 2^8130444 is an apocalyptic number.

8130444 is a gapful number since it is divisible by the number (84) 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 8130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929408).

8130444 is an abundant number, since it is smaller than the sum of its proper divisors (13728372).

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

8130444 is a wasteful number, since it uses less digits than its factorization.

8130444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8130444 is about 2851.3933436129. The cubic root of 8130444 is about 201.0811780712.

The spelling of 8130444 in words is "eight million, one hundred thirty thousand, four hundred forty-four".