11563280 has 20 divisors (see below), whose sum is σ = 26884812. Its totient is φ = 4625280.

The previous prime is 11563261. The next prime is 11563283. The reversal of 11563280 is 8236511.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 3083536 = 2912^2 + 1756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11563283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72191 + ... + 72350.

Almost surely, 2^11563280 is an apocalyptic number.

11563280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11563280 is an abundant number, since it is smaller than the sum of its proper divisors (15321532).

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

11563280 is a wasteful number, since it uses less digits than its factorization.

11563280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144554 (or 144548 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 11563280 is about 3400.4823187307. The cubic root of 11563280 is about 226.1311270786.

Adding to 11563280 its reverse (8236511), we get a palindrome (19799791).

The spelling of 11563280 in words is "eleven million, five hundred sixty-three thousand, two hundred eighty".