9791600 has 120 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 3087360.

The previous prime is 9791599. The next prime is 9791603. The reversal of 9791600 is 61979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9791603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36266 + ... + 36534.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^9791600 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 9791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

9791600 is an abundant number, since it is smaller than the sum of its proper divisors (19269040).

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

9791600 is a wasteful number, since it uses less digits than its factorization.

9791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 9791600 is about 3129.1532400955. The cubic root of 9791600 is about 213.9363364938.

The spelling of 9791600 in words is "nine million, seven hundred ninety-one thousand, six hundred".