9271920 has 80 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 2118912.

The previous prime is 9271907. The next prime is 9271937. The reversal of 9271920 is 291729.

9271920 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

9271920 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (410688).

Almost surely, 2^9271920 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 9271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

9271920 is an abundant number, since it is smaller than the sum of its proper divisors (23583120).

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

9271920 is a wasteful number, since it uses less digits than its factorization.

9271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 9271920 is about 3044.9827585719. The cubic root of 9271920 is about 210.0825072619.

The spelling of 9271920 in words is "nine million, two hundred seventy-one thousand, nine hundred twenty".