9926840 has 96 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 3083520.

The previous prime is 9926837. The next prime is 9926857. The reversal of 9926840 is 486299.

9926840 = T₂₄₄ + T₂₄₅ + ... + T₄₁₉.

9926840 = 312² + 313² + ... + 391².

It is a junction number, because it is equal to n+sod(n) for n = 9926794 and 9926803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33734 + ... + 34026.

It is an arithmetic number, because the mean of its divisors is an integer number (293265).

Almost surely, 2^9926840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9926840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

9926840 is an abundant number, since it is smaller than the sum of its proper divisors (18226600).

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

9926840 is a wasteful number, since it uses less digits than its factorization.

9926840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9926840 is about 3150.6888135771. The cubic root of 9926840 is about 214.9167877008.

The spelling of 9926840 in words is "nine million, nine hundred twenty-six thousand, eight hundred forty".