9256000 has 112 divisors (see below), whose sum is σ = 24963120. Its totient is φ = 3379200.

The previous prime is 9255997. The next prime is 9256033. The reversal of 9256000 is 6529.

It can be written as a sum of positive squares in 8 ways, for example, as 6270016 + 2985984 = 2504^2 + 1728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103956 + ... + 104044.

It is an arithmetic number, because the mean of its divisors is an integer number (222885).

Almost surely, 2^9256000 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 9256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481560).

9256000 is an abundant number, since it is smaller than the sum of its proper divisors (15707120).

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

9256000 is a wasteful number, since it uses less digits than its factorization.

9256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 9256000 is about 3042.3674991690. The cubic root of 9256000 is about 209.9622003016.

The spelling of 9256000 in words is "nine million, two hundred fifty-six thousand".