9427920 has 80 divisors (see below), whose sum is σ = 29527872. Its totient is φ = 2488320.

The previous prime is 9427903. The next prime is 9427921. The reversal of 9427920 is 297249.

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (9427921) 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, 39000 + ... + 39240.

Almost surely, 2^9427920 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 9427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763936).

9427920 is an abundant number, since it is smaller than the sum of its proper divisors (20099952).

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

9427920 is a wasteful number, since it uses less digits than its factorization.

9427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 9427920 is about 3070.4918172827. The cubic root of 9427920 is about 211.2541728574.

The spelling of 9427920 in words is "nine million, four hundred twenty-seven thousand, nine hundred twenty".