10256000 has 64 divisors (see below), whose sum is σ = 25538760. Its totient is φ = 4096000.

The previous prime is 10255963. The next prime is 10256039. The reversal of 10256000 is 65201.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 4910656 = 2312^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15680 + ... + 16320.

Almost surely, 2^10256000 is an apocalyptic number.

10256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769380).

10256000 is an abundant number, since it is smaller than the sum of its proper divisors (15282760).

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

10256000 is an frugal number, since it uses more digits than its factorization.

10256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10256000 is about 3202.4990241997. The cubic root of 10256000 is about 217.2664512061.

It can be divided in two parts, 10 and 256000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 10256000 in words is "ten million, two hundred fifty-six thousand".