8956000 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 3580800.

The previous prime is 8955979. The next prime is 8956001. The reversal of 8956000 is 6598.

It is a self number, because there is not a number n which added to its sum of digits gives 8956000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8956001) 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 7 ways as a sum of consecutive naturals, for example, 2881 + ... + 5119.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^8956000 is an apocalyptic number.

8956000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8956000 is the 1600-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

8956000 is an abundant number, since it is smaller than the sum of its proper divisors (13058720).

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

8956000 is a wasteful number, since it uses less digits than its factorization.

8956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 8956000 is about 2992.6576817271. The cubic root of 8956000 is about 207.6688517706.

The spelling of 8956000 in words is "eight million, nine hundred fifty-six thousand".