10830960 has 180 divisors, whose sum is σ = 42450408. Its totient is φ = 2467584.

The previous prime is 10830947. The next prime is 10830971. The reversal of 10830960 is 6903801.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35127 + ... + 35433.

Almost surely, 2^10830960 is an apocalyptic number.

10830960 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 10830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204).

10830960 is an abundant number, since it is smaller than the sum of its proper divisors (31619448).

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

10830960 is a wasteful number, since it uses less digits than its factorization.

10830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10830960 is about 3291.0423880588. The cubic root of 10830960 is about 221.2529062148.

The spelling of 10830960 in words is "ten million, eight hundred thirty thousand, nine hundred sixty".