8027844 has 48 divisors (see below), whose sum is σ = 20790336. Its totient is φ = 2390400.

The previous prime is 8027839. The next prime is 8027849. The reversal of 8027844 is 4487208.

It is an interprime number because it is at equal distance from previous prime (8027839) and next prime (8027849).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8027849) 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, 7554 + ... + 8550.

It is an arithmetic number, because the mean of its divisors is an integer number (433132).

Almost surely, 2^8027844 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 8027844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395168).

8027844 is an abundant number, since it is smaller than the sum of its proper divisors (12762492).

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

8027844 is a wasteful number, since it uses less digits than its factorization.

8027844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 8027844 is about 2833.3450195837. The cubic root of 8027844 is about 200.2317646553.

It can be divided in two parts, 802 and 7844, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 8027844 in words is "eight million, twenty-seven thousand, eight hundred forty-four".