8345844 has 72 divisors (see below), whose sum is σ = 24078600. Its totient is φ = 2414592.

The previous prime is 8345839. The next prime is 8345891. The reversal of 8345844 is 4485438.

It can be written as a sum of positive squares in 4 ways, for example, as 2528100 + 5817744 = 1590^2 + 2412^2 .

It is a super-2 number, since 2×8345844² = 139306224144672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8345799 and 8345808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7432 + ... + 8480.

It is an arithmetic number, because the mean of its divisors is an integer number (334425).

Almost surely, 2^8345844 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 8345844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039300).

8345844 is an abundant number, since it is smaller than the sum of its proper divisors (15732756).

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

8345844 is a wasteful number, since it uses less digits than its factorization.

8345844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1084 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 8345844 is about 2888.9174443033. The cubic root of 8345844 is about 202.8414723255.

The spelling of 8345844 in words is "eight million, three hundred forty-five thousand, eight hundred forty-four".