11465568 has 72 divisors (see below), whose sum is σ = 33434856. Its totient is φ = 3724800.

The previous prime is 11465557. The next prime is 11465593. The reversal of 11465568 is 86556411.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11323 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (464373).

Almost surely, 2^11465568 is an apocalyptic number.

11465568 is a gapful number since it is divisible by the number (18) 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 11465568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717428).

11465568 is an abundant number, since it is smaller than the sum of its proper divisors (21969288).

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

11465568 is a wasteful number, since it uses less digits than its factorization.

11465568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

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

The square root of 11465568 is about 3386.0844643925. The cubic root of 11465568 is about 225.4923735914.

The spelling of 11465568 in words is "eleven million, four hundred sixty-five thousand, five hundred sixty-eight".