10879360 has 64 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 4280320.

The previous prime is 10879339. The next prime is 10879361. The reversal of 10879360 is 6397801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879361) 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, 56865 + ... + 57055.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 2^10879360 is an apocalyptic number.

10879360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

10879360 is an abundant number, since it is smaller than the sum of its proper divisors (15559040).

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

10879360 is an equidigital number, since it uses as much as digits as its factorization.

10879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10879360 is about 3298.3874848174. The cubic root of 10879360 is about 221.5819853550.

The spelling of 10879360 in words is "ten million, eight hundred seventy-nine thousand, three hundred sixty".