8001056 has 48 divisors (see below), whose sum is σ = 18797184. Its totient is φ = 3277824.

The previous prime is 8001047. The next prime is 8001107. The reversal of 8001056 is 6501008.

8001056 is a modest number, since divided by 1056 gives 800 as remainder.

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, 4376 + ... + 5928.

It is an arithmetic number, because the mean of its divisors is an integer number (391608).

Almost surely, 2^8001056 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 8001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398592).

8001056 is an abundant number, since it is smaller than the sum of its proper divisors (10796128).

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

8001056 is a wasteful number, since it uses less digits than its factorization.

8001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 8001056 is about 2828.6137947765. The cubic root of 8001056 is about 200.0087996128.

The spelling of 8001056 in words is "eight million, one thousand, fifty-six".