9278240 has 48 divisors (see below), whose sum is σ = 22171968. Its totient is φ = 3668736.

The previous prime is 9278221. The next prime is 9278249. The reversal of 9278240 is 428729.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 9 + 2⁵ + 7⁷ + 8³ + 2²³ + 4⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 9278197 and 9278206.

It is not an unprimeable number, because it can be changed into a prime (9278249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16199 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (461916).

Almost surely, 2^9278240 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 9278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085984).

9278240 is an abundant number, since it is smaller than the sum of its proper divisors (12893728).

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

9278240 is a wasteful number, since it uses less digits than its factorization.

9278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 9278240 is about 3046.0203544954. The cubic root of 9278240 is about 210.1302291249.

The spelling of 9278240 in words is "nine million, two hundred seventy-eight thousand, two hundred forty".