9857280 has 144 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 2457600.

The previous prime is 9857279. The next prime is 9857293. The reversal of 9857280 is 827589.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 65205 + ... + 65355.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 2^9857280 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 9857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

9857280 is an abundant number, since it is smaller than the sum of its proper divisors (23697024).

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

9857280 is a wasteful number, since it uses less digits than its factorization.

9857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 9857280 is about 3139.6305515140. The cubic root of 9857280 is about 214.4136176098.

The spelling of 9857280 in words is "nine million, eight hundred fifty-seven thousand, two hundred eighty".