9808000 has 64 divisors (see below), whose sum is σ = 24424920. Its totient is φ = 3916800.

The previous prime is 9807991. The next prime is 9808013. The reversal of 9808000 is 8089.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 9388096 = 648^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15694 + ... + 16306.

Almost surely, 2^9808000 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 9808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212460).

9808000 is an abundant number, since it is smaller than the sum of its proper divisors (14616920).

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

9808000 is an equidigital number, since it uses as much as digits as its factorization.

9808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 9808000 is about 3131.7726609701. The cubic root of 9808000 is about 214.0557108863.

It can be divided in two parts, 980 and 8000, that multiplied together give a square (7840000 = 2800²).

The spelling of 9808000 in words is "nine million, eight hundred eight thousand".