9826009656 has 128 divisors (see below), whose sum is σ = 26630622720. Its totient is φ = 3009982464.

The previous prime is 9826009559. The next prime is 9826009813. The reversal of 9826009656 is 6569006289.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 9826009599 and 9826009608.

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 31 ways as a sum of consecutive naturals, for example, 3066151 + ... + 3069353.

It is an arithmetic number, because the mean of its divisors is an integer number (208051740).

Almost surely, 2^9826009656 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 9826009656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315311360).

9826009656 is an abundant number, since it is smaller than the sum of its proper divisors (16804613064).

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

9826009656 is a wasteful number, since it uses less digits than its factorization.

9826009656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 9826009656 is about 99126.2309179563. The cubic root of 9826009656 is about 2141.8664864241.

The spelling of 9826009656 in words is "nine billion, eight hundred twenty-six million, nine thousand, six hundred fifty-six".