9629856 has 72 divisors (see below), whose sum is σ = 28353780. Its totient is φ = 3096576.

The previous prime is 9629849. The next prime is 9629861. The reversal of 9629856 is 6589269.

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 266256 = 3060^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7776 + ... + 8928.

Almost surely, 2^9629856 is an apocalyptic number.

9629856 is a gapful number since it is divisible by the number (96) 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 9629856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176890).

9629856 is an abundant number, since it is smaller than the sum of its proper divisors (18723924).

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

9629856 is a wasteful number, since it uses less digits than its factorization.

9629856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 9629856 is about 3103.2009280741. The cubic root of 9629856 is about 212.7518103706.

The spelling of 9629856 in words is "nine million, six hundred twenty-nine thousand, eight hundred fifty-six".