9926640 has 120 divisors (see below), whose sum is σ = 35341488. Its totient is φ = 2488320.

The previous prime is 9926627. The next prime is 9926641. The reversal of 9926640 is 466299.

9926640 is a `hidden beast` number, since 9 + 9 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9926595 and 9926604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11835 + ... + 12645.

Almost surely, 2^9926640 is an apocalyptic number.

9926640 is a gapful number since it is divisible by the number (90) 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 9926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670744).

9926640 is an abundant number, since it is smaller than the sum of its proper divisors (25414848).

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

9926640 is a wasteful number, since it uses less digits than its factorization.

9926640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9926640 is about 3150.6570743259. The cubic root of 9926640 is about 214.9153443531.

The spelling of 9926640 in words is "nine million, nine hundred twenty-six thousand, six hundred forty".