11565648 has 30 divisors (see below), whose sum is σ = 32368154. Its totient is φ = 3855168.

The previous prime is 11565647. The next prime is 11565689. The reversal of 11565648 is 84656511.

11565648 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7354944 + 4210704 = 2712^2 + 2052^2 .

It is a super-3 number, since 3×11565648³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11565647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40015 + ... + 40302.

Almost surely, 2^11565648 is an apocalyptic number.

11565648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11565648 is an abundant number, since it is smaller than the sum of its proper divisors (20802506).

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

11565648 is a wasteful number, since it uses less digits than its factorization.

11565648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80331 (or 80322 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 11565648 is about 3400.8304868076. The cubic root of 11565648 is about 226.1465622020.

The spelling of 11565648 in words is "eleven million, five hundred sixty-five thousand, six hundred forty-eight".