10256720 has 40 divisors (see below), whose sum is σ = 24674760. Its totient is φ = 3960320.

The previous prime is 10256711. The next prime is 10256759. The reversal of 10256720 is 2765201.

It can be written as a sum of positive squares in 4 ways, for example, as 2483776 + 7772944 = 1576^2 + 2788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 110 + ... + 4530.

It is an arithmetic number, because the mean of its divisors is an integer number (616869).

Almost surely, 2^10256720 is an apocalyptic number.

10256720 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 10256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337380).

10256720 is an abundant number, since it is smaller than the sum of its proper divisors (14418040).

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

10256720 is a wasteful number, since it uses less digits than its factorization.

10256720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10256720 is about 3202.6114344391. The cubic root of 10256720 is about 217.2715353254.

The spelling of 10256720 in words is "ten million, two hundred fifty-six thousand, seven hundred twenty".