8146944 has 156 divisors (see below), whose sum is σ = 26833716. Its totient is φ = 2359296.

The previous prime is 8146937. The next prime is 8146949. The reversal of 8146944 is 4496418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 4460544 = 1920^2 + 2112^2 .

It is a tau number, because it is divible by the number of its divisors (156).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8146899 and 8146908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479224 + ... + 479240.

It is an arithmetic number, because the mean of its divisors is an integer number (172011).

Almost surely, 2^8146944 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 8146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416858).

8146944 is an abundant number, since it is smaller than the sum of its proper divisors (18686772).

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

8146944 is a wasteful number, since it uses less digits than its factorization.

8146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8146944 is about 2854.2851994852. The cubic root of 8146944 is about 201.2171115064.

The spelling of 8146944 in words is "eight million, one hundred forty-six thousand, nine hundred forty-four".