11563240 has 64 divisors (see below), whose sum is σ = 28823760. Its totient is φ = 4147200.

The previous prime is 11563231. The next prime is 11563241. The reversal of 11563240 is 4236511.

It can be written as a sum of positive squares in 8 ways, for example, as 7474756 + 4088484 = 2734^2 + 2022^2 .

It is not an unprimeable number, because it can be changed into a prime (11563241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18940 + ... + 19540.

Almost surely, 2^11563240 is an apocalyptic number.

11563240 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 11563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411880).

11563240 is an abundant number, since it is smaller than the sum of its proper divisors (17260520).

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

11563240 is a wasteful number, since it uses less digits than its factorization.

11563240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 11563240 is about 3400.4764372070. The cubic root of 11563240 is about 226.1308663321.

Adding to 11563240 its reverse (4236511), we get a palindrome (15799751).

The spelling of 11563240 in words is "eleven million, five hundred sixty-three thousand, two hundred forty".