10815280 has 120 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 3548160.

The previous prime is 10815263. The next prime is 10815283. The reversal of 10815280 is 8251801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10815283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121476 + ... + 121564.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^10815280 is an apocalyptic number.

10815280 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 10815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

10815280 is an abundant number, since it is smaller than the sum of its proper divisors (19718480).

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

10815280 is a wasteful number, since it uses less digits than its factorization.

10815280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 10815280 is about 3288.6593012959. The cubic root of 10815280 is about 221.1460852417.

The spelling of 10815280 in words is "ten million, eight hundred fifteen thousand, two hundred eighty".