10982880 has 144 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 2817024.

The previous prime is 10982869. The next prime is 10982929. The reversal of 10982880 is 8828901.

10982880 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41629 + ... + 41891.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^10982880 is an apocalyptic number.

10982880 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 10982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

10982880 is an abundant number, since it is smaller than the sum of its proper divisors (27936000).

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

10982880 is a wasteful number, since it uses less digits than its factorization.

10982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10982880 is about 3314.0428482444. The cubic root of 10982880 is about 222.2825717574.

The spelling of 10982880 in words is "ten million, nine hundred eighty-two thousand, eight hundred eighty".