9629840 has 80 divisors (see below), whose sum is σ = 25284096. Its totient is φ = 3379200.

The previous prime is 9629839. The next prime is 9629849. The reversal of 9629840 is 489269.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 9629794 and 9629803.

It is not an unprimeable number, because it can be changed into a prime (9629849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27104 + ... + 27456.

Almost surely, 2^9629840 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 9629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642048).

9629840 is an abundant number, since it is smaller than the sum of its proper divisors (15654256).

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

9629840 is a wasteful number, since it uses less digits than its factorization.

9629840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9629840 is about 3103.1983500898. The cubic root of 9629840 is about 212.7516925415.

The spelling of 9629840 in words is "nine million, six hundred twenty-nine thousand, eight hundred forty".