10982340 has 144 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 2654208.

The previous prime is 10982317. The next prime is 10982341. The reversal of 10982340 is 4328901.

10982340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 831744 + 10150596 = 912^2 + 3186^2 .

It is a super-2 number, since 2×10982340² = 241223583751200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113172 + ... + 113268.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 2^10982340 is an apocalyptic number.

10982340 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 10982340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

10982340 is an abundant number, since it is smaller than the sum of its proper divisors (25617132).

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

10982340 is a wasteful number, since it uses less digits than its factorization.

10982340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10982340 is about 3313.9613757556. The cubic root of 10982340 is about 222.2789286766.

The spelling of 10982340 in words is "ten million, nine hundred eighty-two thousand, three hundred forty".