9042960 has 80 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 2350080.

The previous prime is 9042953. The next prime is 9042977. The reversal of 9042960 is 692409.

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).

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, 9381 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 2^9042960 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 9042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

9042960 is an abundant number, since it is smaller than the sum of its proper divisors (19705200).

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

9042960 is a wasteful number, since it uses less digits than its factorization.

9042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9042960 is about 3007.1514760650. The cubic root of 9042960 is about 208.3388215443.

The spelling of 9042960 in words is "nine million, forty-two thousand, nine hundred sixty".