10982760 has 64 divisors (see below), whose sum is σ = 34689600. Its totient is φ = 2774016.

The previous prime is 10982749. The next prime is 10982771. The reversal of 10982760 is 6728901.

10982760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10982749) and next prime (10982771).

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, 129 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (542025).

Almost surely, 2^10982760 is an apocalyptic number.

10982760 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 10982760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344800).

10982760 is an abundant number, since it is smaller than the sum of its proper divisors (23706840).

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

10982760 is a wasteful number, since it uses less digits than its factorization.

10982760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10982760 is about 3314.0247434200. The cubic root of 10982760 is about 222.2817621942.

The spelling of 10982760 in words is "ten million, nine hundred eighty-two thousand, seven hundred sixty".