10864560 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2386944.

The previous prime is 10864559. The next prime is 10864577. The reversal of 10864560 is 6546801.

10864560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48609 + ... + 48831.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^10864560 is an apocalyptic number.

10864560 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 10864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

10864560 is an abundant number, since it is smaller than the sum of its proper divisors (29132880).

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

10864560 is a wasteful number, since it uses less digits than its factorization.

10864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10864560 is about 3296.1432007727. The cubic root of 10864560 is about 221.4814616237.

The spelling of 10864560 in words is "ten million, eight hundred sixty-four thousand, five hundred sixty".