10830560 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 3870720.

The previous prime is 10830527. The next prime is 10830607. The reversal of 10830560 is 6503801.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85217 + ... + 85343.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^10830560 is an apocalyptic number.

10830560 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 10830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

10830560 is an abundant number, since it is smaller than the sum of its proper divisors (17619232).

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

10830560 is a wasteful number, since it uses less digits than its factorization.

10830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10830560 is about 3290.9816164786. The cubic root of 10830560 is about 221.2501824719.

The spelling of 10830560 in words is "ten million, eight hundred thirty thousand, five hundred sixty".