9630900 has 180 divisors, whose sum is σ = 33083820. Its totient is φ = 2419200.

The previous prime is 9630889. The next prime is 9630917. The reversal of 9630900 is 90369.

9630900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1542564 + 8088336 = 1242^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234880 + ... + 234920.

It is an arithmetic number, because the mean of its divisors is an integer number (183799).

Almost surely, 2^9630900 is an apocalyptic number.

9630900 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 9630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541910).

9630900 is an abundant number, since it is smaller than the sum of its proper divisors (23452920).

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

9630900 is a wasteful number, since it uses less digits than its factorization.

9630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9630900 is about 3103.3691369220. The cubic root of 9630900 is about 212.7594984351.

The spelling of 9630900 in words is "nine million, six hundred thirty thousand, nine hundred".