10268560 has 40 divisors (see below), whose sum is σ = 24391296. Its totient is φ = 4018560.

The previous prime is 10268549. The next prime is 10268567. The reversal of 10268560 is 6586201.

10268560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10268567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2395 + ... + 5125.

Almost surely, 2^10268560 is an apocalyptic number.

10268560 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 10268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195648).

10268560 is an abundant number, since it is smaller than the sum of its proper divisors (14122736).

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

10268560 is a wasteful number, since it uses less digits than its factorization.

10268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10268560 is about 3204.4593927838. The cubic root of 10268560 is about 217.3551067383.

The spelling of 10268560 in words is "ten million, two hundred sixty-eight thousand, five hundred sixty".