9625600 has 84 divisors (see below), whose sum is σ = 24377904. Its totient is φ = 3768320.

The previous prime is 9625591. The next prime is 9625607. The reversal of 9625600 is 65269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204777 + ... + 204823.

Almost surely, 2^9625600 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 9625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188952).

9625600 is an abundant number, since it is smaller than the sum of its proper divisors (14752304).

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

9625600 is an equidigital number, since it uses as much as digits as its factorization.

9625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 9625600 is about 3102.5151087465. The cubic root of 9625600 is about 212.7204632375.

The spelling of 9625600 in words is "nine million, six hundred twenty-five thousand, six hundred".