10836840 has 192 divisors, whose sum is σ = 40219200. Its totient is φ = 2322432.

The previous prime is 10836829. The next prime is 10836851. The reversal of 10836840 is 4863801.

It is a happy number.

10836840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10836840 is a nontrivial binomial coefficient, being equal to C(4656, 2).

It is an interprime number because it is at equal distance from previous prime (10836829) and next prime (10836851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10836798 and 10836807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111672 + ... + 111768.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^10836840 is an apocalyptic number.

10836840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10836840 is the 4655-th triangular number and also the 2328-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10836840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

10836840 is an abundant number, since it is smaller than the sum of its proper divisors (29382360).

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

10836840 is a wasteful number, since it uses less digits than its factorization.

10836840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10836840 is about 3291.9356008282. The cubic root of 10836840 is about 221.2929374996.

The spelling of 10836840 in words is "ten million, eight hundred thirty-six thousand, eight hundred forty".