9630624 has 48 divisors (see below), whose sum is σ = 25879392. Its totient is φ = 3134208.

The previous prime is 9630611. The next prime is 9630631. The reversal of 9630624 is 4260369.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 9630591 and 9630600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (539154).

Almost surely, 2^9630624 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 9630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939696).

9630624 is an abundant number, since it is smaller than the sum of its proper divisors (16248768).

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

9630624 is a wasteful number, since it uses less digits than its factorization.

9630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 9630624 is about 3103.3246688028. The cubic root of 9630624 is about 212.7574660123.

The spelling of 9630624 in words is "nine million, six hundred thirty thousand, six hundred twenty-four".