9827349660 has 36 divisors (see below), whose sum is σ = 29809627848. Its totient is φ = 2620626528.

The previous prime is 9827349659. The next prime is 9827349661. The reversal of 9827349660 is 669437289.

It is a happy number.

9827349660 is a `hidden beast` number, since 9 + 82 + 73 + 496 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9827349659) and next prime (9827349661).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 9827349597 and 9827349606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9827349661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27298014 + ... + 27298373.

It is an arithmetic number, because the mean of its divisors is an integer number (828045218).

Almost surely, 2^9827349660 is an apocalyptic number.

9827349660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9827349660 is an abundant number, since it is smaller than the sum of its proper divisors (19982278188).

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

9827349660 is a wasteful number, since it uses less digits than its factorization.

9827349660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54596402 (or 54596397 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9827349660 is about 99132.9897662731. The cubic root of 9827349660 is about 2141.9638463665.

The spelling of 9827349660 in words is "nine billion, eight hundred twenty-seven million, three hundred forty-nine thousand, six hundred sixty".