9601200 has 240 divisors, whose sum is σ = 39362560. Its totient is φ = 2177280.

The previous prime is 9601187. The next prime is 9601201. The reversal of 9601200 is 21069.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9601201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75537 + ... + 75663.

Almost surely, 2^9601200 is an apocalyptic number.

9601200 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 9601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681280).

9601200 is an abundant number, since it is smaller than the sum of its proper divisors (29761360).

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

9601200 is a wasteful number, since it uses less digits than its factorization.

9601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9601200 is about 3098.5803200821. The cubic root of 9601200 is about 212.5405689556.

Adding to 9601200 its reverse (21069), we get a palindrome (9622269).

It can be divided in two parts, 9601 and 200, that added together give a square (9801 = 99²).

The spelling of 9601200 in words is "nine million, six hundred one thousand, two hundred".