10256784 has 80 divisors (see below), whose sum is σ = 28045824. Its totient is φ = 3225600.

The previous prime is 10256783. The next prime is 10256801. The reversal of 10256784 is 48765201.

10256784 = 35² + 36² + ... + 313².

It is not an unprimeable number, because it can be changed into a prime (10256783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90712 + ... + 90824.

Almost surely, 2^10256784 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 10256784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022912).

10256784 is an abundant number, since it is smaller than the sum of its proper divisors (17789040).

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

10256784 is a wasteful number, since it uses less digits than its factorization.

10256784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10256784 is about 3202.6214262694. The cubic root of 10256784 is about 217.2719872356.

The spelling of 10256784 in words is "ten million, two hundred fifty-six thousand, seven hundred eighty-four".