10985382 has 80 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 3347568.

The previous prime is 10985353. The next prime is 10985389. The reversal of 10985382 is 28358901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132313 + ... + 132395.

It is an arithmetic number, because the mean of its divisors is an integer number (335412).

Almost surely, 2^10985382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

10985382 is an abundant number, since it is smaller than the sum of its proper divisors (15847578).

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

10985382 is a wasteful number, since it uses less digits than its factorization.

10985382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10985382 is about 3314.4203113063. The cubic root of 10985382 is about 222.2994498066.

It can be divided in two parts, 109 and 85382, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 10985382 in words is "ten million, nine hundred eighty-five thousand, three hundred eighty-two".