9628600 has 48 divisors (see below), whose sum is σ = 23123520. Its totient is φ = 3724800.

The previous prime is 9628519. The next prime is 9628607. The reversal of 9628600 is 68269.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5424 + ... + 6976.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 2^9628600 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 9628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561760).

9628600 is an abundant number, since it is smaller than the sum of its proper divisors (13494920).

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

9628600 is a wasteful number, since it uses less digits than its factorization.

9628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 9628600 is about 3102.9985497902. The cubic root of 9628600 is about 212.7425603917.

The spelling of 9628600 in words is "nine million, six hundred twenty-eight thousand, six hundred".