8042944 has 56 divisors (see below), whose sum is σ = 19657568. Its totient is φ = 3179520.

The previous prime is 8042917. The next prime is 8042959. The reversal of 8042944 is 4492408.

8042944 = T₄₆₉ + T₄₇₀ + ... + T₅₃₂.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5134 + ... + 6514.

It is an arithmetic number, because the mean of its divisors is an integer number (351028).

Almost surely, 2^8042944 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 8042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828784).

8042944 is an abundant number, since it is smaller than the sum of its proper divisors (11614624).

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

8042944 is a wasteful number, since it uses less digits than its factorization.

8042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8042944 is about 2836.0084626108. The cubic root of 8042944 is about 200.3572282267.

The spelling of 8042944 in words is "eight million, forty-two thousand, nine hundred forty-four".