9804697600 has 234 divisors, whose sum is σ = 25556132966. Its totient is φ = 3730636800.

The previous prime is 9804697583. The next prime is 9804697603. The reversal of 9804697600 is 67964089.

It can be written as a sum of positive squares in 3 ways, for example, as 78004224 + 9726693376 = 8832^2 + 98624^2 .

It is a super-2 number, since 2×9804697600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9804697603) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 54169510 + ... + 54169690.

Almost surely, 2^9804697600 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 9804697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778066483).

9804697600 is an abundant number, since it is smaller than the sum of its proper divisors (15751435366).

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

9804697600 is a wasteful number, since it uses less digits than its factorization.

9804697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 9804697600 is about 99018.6729864625. The cubic root of 9804697600 is about 2140.3168366592.

The spelling of 9804697600 in words is "nine billion, eight hundred four million, six hundred ninety-seven thousand, six hundred".