11565630 has 48 divisors (see below), whose sum is σ = 30376944. Its totient is φ = 3052800.

The previous prime is 11565629. The next prime is 11565637. The reversal of 11565630 is 3656511.

It is a happy number.

11565630 is a `hidden beast` number, since 1 + 1 + 5 + 656 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11565594 and 11565603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11565637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9030 + ... + 10230.

It is an arithmetic number, because the mean of its divisors is an integer number (632853).

Almost surely, 2^11565630 is an apocalyptic number.

11565630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188472).

11565630 is an abundant number, since it is smaller than the sum of its proper divisors (18811314).

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

11565630 is a wasteful number, since it uses less digits than its factorization.

11565630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 11565630 is about 3400.8278403942. The cubic root of 11565630 is about 226.1464448821.

It can be divided in two parts, 1156 and 5630, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 11565630 in words is "eleven million, five hundred sixty-five thousand, six hundred thirty".