9879360 has 112 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 2560000.

The previous prime is 9879349. The next prime is 9879371. The reversal of 9879360 is 639789.

It is a happy number.

9879360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9879349) and next prime (9879371).

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, 39235 + ... + 39485.

It is an arithmetic number, because the mean of its divisors is an integer number (288036).

Almost surely, 2^9879360 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 9879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

9879360 is an abundant number, since it is smaller than the sum of its proper divisors (22380672).

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

9879360 is a wasteful number, since it uses less digits than its factorization.

9879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9879360 is about 3143.1449218895. The cubic root of 9879360 is about 214.5735914975.

The spelling of 9879360 in words is "nine million, eight hundred seventy-nine thousand, three hundred sixty".