9820005408 has 144 divisors (see below), whose sum is σ = 29597914080. Its totient is φ = 3167475840.

The previous prime is 9820005389. The next prime is 9820005451. The reversal of 9820005408 is 8045000289.

9820005408 is a `hidden beast` number, since 98 + 20 + 0 + 0 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824391 + ... + 836217.

It is an arithmetic number, because the mean of its divisors is an integer number (205541070).

Almost surely, 2^9820005408 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 9820005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798957040).

9820005408 is an abundant number, since it is smaller than the sum of its proper divisors (19777908672).

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

9820005408 is a wasteful number, since it uses less digits than its factorization.

9820005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11908 (or 11863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9820005408 is about 99095.9404213916. The cubic root of 9820005408 is about 2141.4301303188.

The spelling of 9820005408 in words is "nine billion, eight hundred twenty million, five thousand, four hundred eight".