9600206400 has 672 divisors, whose sum is σ = 37039296000. Its totient is φ = 2415329280.

The previous prime is 9600206393. The next prime is 9600206401. The reversal of 9600206400 is 46020069.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9600206401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98971152 + ... + 98971248.

It is an arithmetic number, because the mean of its divisors is an integer number (55118000).

Almost surely, 2^9600206400 is an apocalyptic number.

9600206400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519648000).

9600206400 is an abundant number, since it is smaller than the sum of its proper divisors (27439089600).

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

9600206400 is a wasteful number, since it uses less digits than its factorization.

9600206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9600206400 is about 97980.6429862552. The cubic root of 9600206400 is about 2125.3323696956.

Adding to 9600206400 its reverse (46020069), we get a palindrome (9646226469).

It can be divided in two parts, 9600 and 206400, that added together give a cube (216000 = 60³).

The spelling of 9600206400 in words is "nine billion, six hundred million, two hundred six thousand, four hundred".