9541920 has 96 divisors (see below), whose sum is σ = 30506112. Its totient is φ = 2506752.

The previous prime is 9541919. The next prime is 9541927. The reversal of 9541920 is 291459.

It is a happy number.

It is a Cunningham number, because it is equal to 3089²-1.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (9541927) 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, 49344 + ... + 49536.

It is an arithmetic number, because the mean of its divisors is an integer number (317772).

Almost surely, 2^9541920 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 9541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253056).

9541920 is an abundant number, since it is smaller than the sum of its proper divisors (20964192).

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

9541920 is a wasteful number, since it uses less digits than its factorization.

9541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9541920 is about 3088.9998381353. Note that the first 3 decimals coincide. The cubic root of 9541920 is about 212.1022409420.

The spelling of 9541920 in words is "nine million, five hundred forty-one thousand, nine hundred twenty".