10256560 has 80 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 3860480.

The previous prime is 10256557. The next prime is 10256569. The reversal of 10256560 is 6565201.

10256560 = T₁₃₅ + T₁₃₆ + ... + T₃₉₉.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10256569) 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, 173811 + ... + 173869.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 2^10256560 is an apocalyptic number.

10256560 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 10256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

10256560 is an abundant number, since it is smaller than the sum of its proper divisors (15054320).

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

10256560 is a wasteful number, since it uses less digits than its factorization.

10256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 10256560 is about 3202.5864547269. The cubic root of 10256560 is about 217.2704055417.

It can be divided in two parts, 10256 and 560, that added together give a square (10816 = 104²).

The spelling of 10256560 in words is "ten million, two hundred fifty-six thousand, five hundred sixty".