9701600 has 72 divisors (see below), whose sum is σ = 24170328. Its totient is φ = 3801600.

The previous prime is 9701581. The next prime is 9701603. The reversal of 9701600 is 61079.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9701603) 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 11 ways as a sum of consecutive naturals, for example, 53510 + ... + 53690.

It is an arithmetic number, because the mean of its divisors is an integer number (335699).

Almost surely, 2^9701600 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 9701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085164).

9701600 is an abundant number, since it is smaller than the sum of its proper divisors (14468728).

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

9701600 is a wasteful number, since it uses less digits than its factorization.

9701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 9701600 is about 3114.7391544076. The cubic root of 9701600 is about 213.2788489333.

Adding to 9701600 its reverse (61079), we get a palindrome (9762679).

It can be divided in two parts, 9701 and 600, that added together give a palindrome (10301).

The spelling of 9701600 in words is "nine million, seven hundred one thousand, six hundred".