9643920 has 160 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 2150400.

The previous prime is 9643903. The next prime is 9643927. The reversal of 9643920 is 293469.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9643927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34180 + ... + 34460.

Almost surely, 2^9643920 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 9643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623872).

9643920 is an abundant number, since it is smaller than the sum of its proper divisors (25603824).

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

9643920 is a wasteful number, since it uses less digits than its factorization.

9643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 9643920 is about 3105.4661485838. The cubic root of 9643920 is about 212.8553316835.

It can be divided in two parts, 964 and 3920, that added together give a palindrome (4884).

The spelling of 9643920 in words is "nine million, six hundred forty-three thousand, nine hundred twenty".