9820409112 has 128 divisors (see below), whose sum is σ = 27616051200. Its totient is φ = 3233260800.

The previous prime is 9820409111. The next prime is 9820409119. The reversal of 9820409112 is 2119040289.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820409111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7433412 + ... + 7434732.

It is an arithmetic number, because the mean of its divisors is an integer number (215750400).

Almost surely, 2^9820409112 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 9820409112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808025600).

9820409112 is an abundant number, since it is smaller than the sum of its proper divisors (17795642088).

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

9820409112 is a wasteful number, since it uses less digits than its factorization.

9820409112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9820409112 is about 99097.9773355642. The cubic root of 9820409112 is about 2141.4594749076.

The spelling of 9820409112 in words is "nine billion, eight hundred twenty million, four hundred nine thousand, one hundred twelve".