11565280 has 72 divisors (see below), whose sum is σ = 28656936. Its totient is φ = 4408320.

The previous prime is 11565269. The next prime is 11565313. The reversal of 11565280 is 8256511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268939 + ... + 268981.

It is an arithmetic number, because the mean of its divisors is an integer number (398013).

Almost surely, 2^11565280 is an apocalyptic number.

11565280 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 11565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328468).

11565280 is an abundant number, since it is smaller than the sum of its proper divisors (17091656).

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

11565280 is an equidigital number, since it uses as much as digits as its factorization.

11565280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 11565280 is about 3400.7763819457. The cubic root of 11565280 is about 226.1441636387.

The spelling of 11565280 in words is "eleven million, five hundred sixty-five thousand, two hundred eighty".